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Finding the Fourth Proportional to 512.66, 769.01 and 291.71

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Solution

The fourth proportional to 512.66, 769.01 and 291.71 is: 437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 769.01 = 291.71 : x
  2. Step 2: Convert to fraction form
    512.66/769.01 = 291.71/x
  3. Step 3: Cross multiply
    512.66x = 769.01 × 291.71
  4. Step 4: Simplify right side
    512.66x = 224,327.91
  5. Step 5: Solve for x
    x = 224,327.91/512.66
  6. Step 6: Final answer
    x = 437.58

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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.