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Finding the Fourth Proportional to 385.86, 532.56 and 230.64

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Solution

The fourth proportional to 385.86, 532.56 and 230.64 is: 318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.86 : 532.56 = 230.64 : x
  2. Step 2: Convert to fraction form
    385.86/532.56 = 230.64/x
  3. Step 3: Cross multiply
    385.86x = 532.56 × 230.64
  4. Step 4: Simplify right side
    385.86x = 122,829.64
  5. Step 5: Solve for x
    x = 122,829.64/385.86
  6. Step 6: Final answer
    x = 318.33

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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.