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Finding the Fourth Proportional to 540.69, 746.10 and 354.24

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Solution

The fourth proportional to 540.69, 746.10 and 354.24 is: 488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 746.10 = 354.24 : x
  2. Step 2: Convert to fraction form
    540.69/746.10 = 354.24/x
  3. Step 3: Cross multiply
    540.69x = 746.10 × 354.24
  4. Step 4: Simplify right side
    540.69x = 264,298.46
  5. Step 5: Solve for x
    x = 264,298.46/540.69
  6. Step 6: Final answer
    x = 488.82

Related Problems

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Double scale
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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.