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Finding the Fourth Proportional to 414.98, 572.10 and 404.06

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Solution

The fourth proportional to 414.98, 572.10 and 404.06 is: 557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.98 : 572.10 = 404.06 : x
  2. Step 2: Convert to fraction form
    414.98/572.10 = 404.06/x
  3. Step 3: Cross multiply
    414.98x = 572.10 × 404.06
  4. Step 4: Simplify right side
    414.98x = 231,162.73
  5. Step 5: Solve for x
    x = 231,162.73/414.98
  6. Step 6: Final answer
    x = 557.05

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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.