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Finding the Fourth Proportional to 415.71, 574.70 and 404.91

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Solution

The fourth proportional to 415.71, 574.70 and 404.91 is: 559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.71 : 574.70 = 404.91 : x
  2. Step 2: Convert to fraction form
    415.71/574.70 = 404.91/x
  3. Step 3: Cross multiply
    415.71x = 574.70 × 404.91
  4. Step 4: Simplify right side
    415.71x = 232,699.75
  5. Step 5: Solve for x
    x = 232,699.75/415.71
  6. Step 6: Final answer
    x = 559.76

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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.