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Finding the Fourth Proportional to 384.78, 531 and 237.38

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Solution

The fourth proportional to 384.78, 531 and 237.38 is: 327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 531 = 237.38 : x
  2. Step 2: Convert to fraction form
    384.78/531 = 237.38/x
  3. Step 3: Cross multiply
    384.78x = 531 × 237.38
  4. Step 4: Simplify right side
    384.78x = 126,046.13
  5. Step 5: Solve for x
    x = 126,046.13/384.78
  6. Step 6: Final answer
    x = 327.58

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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.