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Finding the Fourth Proportional to 472.73, 652.24 and 298.08

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Solution

The fourth proportional to 472.73, 652.24 and 298.08 is: 411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.73 : 652.24 = 298.08 : x
  2. Step 2: Convert to fraction form
    472.73/652.24 = 298.08/x
  3. Step 3: Cross multiply
    472.73x = 652.24 × 298.08
  4. Step 4: Simplify right side
    472.73x = 194,414.95
  5. Step 5: Solve for x
    x = 194,414.95/472.73
  6. Step 6: Final answer
    x = 411.26

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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.