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Finding the Fourth Proportional to 864.14, 1,296.41 and 402.17

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Solution

The fourth proportional to 864.14, 1,296.41 and 402.17 is: 603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.14 : 1,296.41 = 402.17 : x
  2. Step 2: Convert to fraction form
    864.14/1,296.41 = 402.17/x
  3. Step 3: Cross multiply
    864.14x = 1,296.41 × 402.17
  4. Step 4: Simplify right side
    864.14x = 521,368.72
  5. Step 5: Solve for x
    x = 521,368.72/864.14
  6. Step 6: Final answer
    x = 603.34

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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.