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Finding the Fourth Proportional to 385.26, 531.70 and 230.10

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Solution

The fourth proportional to 385.26, 531.70 and 230.10 is: 317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.26 : 531.70 = 230.10 : x
  2. Step 2: Convert to fraction form
    385.26/531.70 = 230.10/x
  3. Step 3: Cross multiply
    385.26x = 531.70 × 230.10
  4. Step 4: Simplify right side
    385.26x = 122,344.17
  5. Step 5: Solve for x
    x = 122,344.17/385.26
  6. Step 6: Final answer
    x = 317.56

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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.