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Finding the Fourth Proportional to 387.80, 534.30 and 335.24

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Solution

The fourth proportional to 387.80, 534.30 and 335.24 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.80 : 534.30 = 335.24 : x
  2. Step 2: Convert to fraction form
    387.80/534.30 = 335.24/x
  3. Step 3: Cross multiply
    387.80x = 534.30 × 335.24
  4. Step 4: Simplify right side
    387.80x = 179,118.73
  5. Step 5: Solve for x
    x = 179,118.73/387.80
  6. Step 6: Final answer
    x = 461.88

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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.