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Finding the Fourth Proportional to 864.01, 1,294.21 and 402.18

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Solution

The fourth proportional to 864.01, 1,294.21 and 402.18 is: 602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.01 : 1,294.21 = 402.18 : x
  2. Step 2: Convert to fraction form
    864.01/1,294.21 = 402.18/x
  3. Step 3: Cross multiply
    864.01x = 1,294.21 × 402.18
  4. Step 4: Simplify right side
    864.01x = 520,503.37
  5. Step 5: Solve for x
    x = 520,503.37/864.01
  6. Step 6: Final answer
    x = 602.43

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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.