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Finding the Fourth Proportional to 414.86, 572.57 and 237.83

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Solution

The fourth proportional to 414.86, 572.57 and 237.83 is: 328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.86 : 572.57 = 237.83 : x
  2. Step 2: Convert to fraction form
    414.86/572.57 = 237.83/x
  3. Step 3: Cross multiply
    414.86x = 572.57 × 237.83
  4. Step 4: Simplify right side
    414.86x = 136,174.32
  5. Step 5: Solve for x
    x = 136,174.32/414.86
  6. Step 6: Final answer
    x = 328.24

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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.