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Finding the Fourth Proportional to 385.54, 532.04 and 230.26

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Solution

The fourth proportional to 385.54, 532.04 and 230.26 is: 317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.54 : 532.04 = 230.26 : x
  2. Step 2: Convert to fraction form
    385.54/532.04 = 230.26/x
  3. Step 3: Cross multiply
    385.54x = 532.04 × 230.26
  4. Step 4: Simplify right side
    385.54x = 122,507.53
  5. Step 5: Solve for x
    x = 122,507.53/385.54
  6. Step 6: Final answer
    x = 317.76

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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.