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Finding the Fourth Proportional to 385.98, 532.71 and 338.46

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Solution

The fourth proportional to 385.98, 532.71 and 338.46 is: 467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.98 : 532.71 = 338.46 : x
  2. Step 2: Convert to fraction form
    385.98/532.71 = 338.46/x
  3. Step 3: Cross multiply
    385.98x = 532.71 × 338.46
  4. Step 4: Simplify right side
    385.98x = 180,301.03
  5. Step 5: Solve for x
    x = 180,301.03/385.98
  6. Step 6: Final answer
    x = 467.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.