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Finding the Fourth Proportional to 864.52, 1,296.92 and 317.46

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Solution

The fourth proportional to 864.52, 1,296.92 and 317.46 is: 476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.52 : 1,296.92 = 317.46 : x
  2. Step 2: Convert to fraction form
    864.52/1,296.92 = 317.46/x
  3. Step 3: Cross multiply
    864.52x = 1,296.92 × 317.46
  4. Step 4: Simplify right side
    864.52x = 411,720.22
  5. Step 5: Solve for x
    x = 411,720.22/864.52
  6. Step 6: Final answer
    x = 476.24

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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.