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Finding the Fourth Proportional to 472.69, 652.25 and 298

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Solution

The fourth proportional to 472.69, 652.25 and 298 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.69 : 652.25 = 298 : x
  2. Step 2: Convert to fraction form
    472.69/652.25 = 298/x
  3. Step 3: Cross multiply
    472.69x = 652.25 × 298
  4. Step 4: Simplify right side
    472.69x = 194,370.50
  5. Step 5: Solve for x
    x = 194,370.50/472.69
  6. Step 6: Final answer
    x = 411.20

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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.