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Finding the Fourth Proportional to 415.86, 574.65 and 360.42

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Solution

The fourth proportional to 415.86, 574.65 and 360.42 is: 498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.86 : 574.65 = 360.42 : x
  2. Step 2: Convert to fraction form
    415.86/574.65 = 360.42/x
  3. Step 3: Cross multiply
    415.86x = 574.65 × 360.42
  4. Step 4: Simplify right side
    415.86x = 207,115.35
  5. Step 5: Solve for x
    x = 207,115.35/415.86
  6. Step 6: Final answer
    x = 498.04

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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.