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Finding the Fourth Proportional to 864.36, 1,296.50 and 431.16

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Solution

The fourth proportional to 864.36, 1,296.50 and 431.16 is: 646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.36 : 1,296.50 = 431.16 : x
  2. Step 2: Convert to fraction form
    864.36/1,296.50 = 431.16/x
  3. Step 3: Cross multiply
    864.36x = 1,296.50 × 431.16
  4. Step 4: Simplify right side
    864.36x = 558,998.94
  5. Step 5: Solve for x
    x = 558,998.94/864.36
  6. Step 6: Final answer
    x = 646.72

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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.