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Finding the Fourth Proportional to 384.65, 531.02 and 237.37

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Solution

The fourth proportional to 384.65, 531.02 and 237.37 is: 327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.65 : 531.02 = 237.37 : x
  2. Step 2: Convert to fraction form
    384.65/531.02 = 237.37/x
  3. Step 3: Cross multiply
    384.65x = 531.02 × 237.37
  4. Step 4: Simplify right side
    384.65x = 126,048.22
  5. Step 5: Solve for x
    x = 126,048.22/384.65
  6. Step 6: Final answer
    x = 327.70

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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.