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Finding the Fourth Proportional to 414.76, 572.24 and 259.52

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Solution

The fourth proportional to 414.76, 572.24 and 259.52 is: 358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 572.24 = 259.52 : x
  2. Step 2: Convert to fraction form
    414.76/572.24 = 259.52/x
  3. Step 3: Cross multiply
    414.76x = 572.24 × 259.52
  4. Step 4: Simplify right side
    414.76x = 148,507.72
  5. Step 5: Solve for x
    x = 148,507.72/414.76
  6. Step 6: Final answer
    x = 358.06

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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.