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Finding the Fourth Proportional to 384.92, 531.20 and 237.50

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Solution

The fourth proportional to 384.92, 531.20 and 237.50 is: 327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.92 : 531.20 = 237.50 : x
  2. Step 2: Convert to fraction form
    384.92/531.20 = 237.50/x
  3. Step 3: Cross multiply
    384.92x = 531.20 × 237.50
  4. Step 4: Simplify right side
    384.92x = 126,160.00
  5. Step 5: Solve for x
    x = 126,160.00/384.92
  6. Step 6: Final answer
    x = 327.76

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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.