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Finding the Fourth Proportional to 472.14, 707.85 and 391.50

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Solution

The fourth proportional to 472.14, 707.85 and 391.50 is: 586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 707.85 = 391.50 : x
  2. Step 2: Convert to fraction form
    472.14/707.85 = 391.50/x
  3. Step 3: Cross multiply
    472.14x = 707.85 × 391.50
  4. Step 4: Simplify right side
    472.14x = 277,123.28
  5. Step 5: Solve for x
    x = 277,123.28/472.14
  6. Step 6: Final answer
    x = 586.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.