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Finding the Fourth Proportional to 385.63, 532.17 and 230.38

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Solution

The fourth proportional to 385.63, 532.17 and 230.38 is: 317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.63 : 532.17 = 230.38 : x
  2. Step 2: Convert to fraction form
    385.63/532.17 = 230.38/x
  3. Step 3: Cross multiply
    385.63x = 532.17 × 230.38
  4. Step 4: Simplify right side
    385.63x = 122,598.66
  5. Step 5: Solve for x
    x = 122,598.66/385.63
  6. Step 6: Final answer
    x = 317.92

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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.