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Finding the Fourth Proportional to 385.02, 531.36 and 237.72

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Solution

The fourth proportional to 385.02, 531.36 and 237.72 is: 328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.02 : 531.36 = 237.72 : x
  2. Step 2: Convert to fraction form
    385.02/531.36 = 237.72/x
  3. Step 3: Cross multiply
    385.02x = 531.36 × 237.72
  4. Step 4: Simplify right side
    385.02x = 126,314.90
  5. Step 5: Solve for x
    x = 126,314.90/385.02
  6. Step 6: Final answer
    x = 328.07

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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.