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Finding the Fourth Proportional to 387.57, 534.84 and 212.91

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Solution

The fourth proportional to 387.57, 534.84 and 212.91 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.57 : 534.84 = 212.91 : x
  2. Step 2: Convert to fraction form
    387.57/534.84 = 212.91/x
  3. Step 3: Cross multiply
    387.57x = 534.84 × 212.91
  4. Step 4: Simplify right side
    387.57x = 113,872.78
  5. Step 5: Solve for x
    x = 113,872.78/387.57
  6. Step 6: Final answer
    x = 293.81

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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.