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Finding the Fourth Proportional to 385.62, 531.45 and 275.10

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Solution

The fourth proportional to 385.62, 531.45 and 275.10 is: 379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.62 : 531.45 = 275.10 : x
  2. Step 2: Convert to fraction form
    385.62/531.45 = 275.10/x
  3. Step 3: Cross multiply
    385.62x = 531.45 × 275.10
  4. Step 4: Simplify right side
    385.62x = 146,201.90
  5. Step 5: Solve for x
    x = 146,201.90/385.62
  6. Step 6: Final answer
    x = 379.13

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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.