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Finding the Fourth Proportional to 387.46, 534.63 and 232.21

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Solution

The fourth proportional to 387.46, 534.63 and 232.21 is: 320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.46 : 534.63 = 232.21 : x
  2. Step 2: Convert to fraction form
    387.46/534.63 = 232.21/x
  3. Step 3: Cross multiply
    387.46x = 534.63 × 232.21
  4. Step 4: Simplify right side
    387.46x = 124,146.43
  5. Step 5: Solve for x
    x = 124,146.43/387.46
  6. Step 6: Final answer
    x = 320.41

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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.