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Finding the Fourth Proportional to 474.62, 711.27 and 358.97

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Solution

The fourth proportional to 474.62, 711.27 and 358.97 is: 537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.62 : 711.27 = 358.97 : x
  2. Step 2: Convert to fraction form
    474.62/711.27 = 358.97/x
  3. Step 3: Cross multiply
    474.62x = 711.27 × 358.97
  4. Step 4: Simplify right side
    474.62x = 255,324.59
  5. Step 5: Solve for x
    x = 255,324.59/474.62
  6. Step 6: Final answer
    x = 537.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.