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Finding the Fourth Proportional to 472.50, 652.05 and 298.17

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Solution

The fourth proportional to 472.50, 652.05 and 298.17 is: 411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 652.05 = 298.17 : x
  2. Step 2: Convert to fraction form
    472.50/652.05 = 298.17/x
  3. Step 3: Cross multiply
    472.50x = 652.05 × 298.17
  4. Step 4: Simplify right side
    472.50x = 194,421.75
  5. Step 5: Solve for x
    x = 194,421.75/472.50
  6. Step 6: Final answer
    x = 411.47

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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.