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Finding the Fourth Proportional to 472.64, 652.20 and 298

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Solution

The fourth proportional to 472.64, 652.20 and 298 is: 411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.64 : 652.20 = 298 : x
  2. Step 2: Convert to fraction form
    472.64/652.20 = 298/x
  3. Step 3: Cross multiply
    472.64x = 652.20 × 298
  4. Step 4: Simplify right side
    472.64x = 194,355.60
  5. Step 5: Solve for x
    x = 194,355.60/472.64
  6. Step 6: Final answer
    x = 411.21

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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.