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Finding the Fourth Proportional to 513.24, 769.38 and 171.16

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Solution

The fourth proportional to 513.24, 769.38 and 171.16 is: 256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 769.38 = 171.16 : x
  2. Step 2: Convert to fraction form
    513.24/769.38 = 171.16/x
  3. Step 3: Cross multiply
    513.24x = 769.38 × 171.16
  4. Step 4: Simplify right side
    513.24x = 131,687.08
  5. Step 5: Solve for x
    x = 131,687.08/513.24
  6. Step 6: Final answer
    x = 256.58

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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.