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Finding the Fourth Proportional to 540.67, 746.24 and 344.14

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Solution

The fourth proportional to 540.67, 746.24 and 344.14 is: 474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.67 : 746.24 = 344.14 : x
  2. Step 2: Convert to fraction form
    540.67/746.24 = 344.14/x
  3. Step 3: Cross multiply
    540.67x = 746.24 × 344.14
  4. Step 4: Simplify right side
    540.67x = 256,811.03
  5. Step 5: Solve for x
    x = 256,811.03/540.67
  6. Step 6: Final answer
    x = 474.99

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.