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Finding the Fourth Proportional to 472.71, 652.30 and 262.87

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Solution

The fourth proportional to 472.71, 652.30 and 262.87 is: 362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.71 : 652.30 = 262.87 : x
  2. Step 2: Convert to fraction form
    472.71/652.30 = 262.87/x
  3. Step 3: Cross multiply
    472.71x = 652.30 × 262.87
  4. Step 4: Simplify right side
    472.71x = 171,470.10
  5. Step 5: Solve for x
    x = 171,470.10/472.71
  6. Step 6: Final answer
    x = 362.74

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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.