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Finding the Fourth Proportional to 654.18, 981.27 and 397.14

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Solution

The fourth proportional to 654.18, 981.27 and 397.14 is: 595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.18 : 981.27 = 397.14 : x
  2. Step 2: Convert to fraction form
    654.18/981.27 = 397.14/x
  3. Step 3: Cross multiply
    654.18x = 981.27 × 397.14
  4. Step 4: Simplify right side
    654.18x = 389,701.57
  5. Step 5: Solve for x
    x = 389,701.57/654.18
  6. Step 6: Final answer
    x = 595.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.