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Finding the Fourth Proportional to 864.28, 1,296.48 and 431.68

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Solution

The fourth proportional to 864.28, 1,296.48 and 431.68 is: 647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.28 : 1,296.48 = 431.68 : x
  2. Step 2: Convert to fraction form
    864.28/1,296.48 = 431.68/x
  3. Step 3: Cross multiply
    864.28x = 1,296.48 × 431.68
  4. Step 4: Simplify right side
    864.28x = 559,664.49
  5. Step 5: Solve for x
    x = 559,664.49/864.28
  6. Step 6: Final answer
    x = 647.55

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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.