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Finding the Fourth Proportional to 415.49, 574.10 and 360.14

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Solution

The fourth proportional to 415.49, 574.10 and 360.14 is: 497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.49 : 574.10 = 360.14 : x
  2. Step 2: Convert to fraction form
    415.49/574.10 = 360.14/x
  3. Step 3: Cross multiply
    415.49x = 574.10 × 360.14
  4. Step 4: Simplify right side
    415.49x = 206,751.70
  5. Step 5: Solve for x
    x = 206,751.70/415.49
  6. Step 6: Final answer
    x = 497.62

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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.