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Finding the Fourth Proportional to 864.10, 1,296.15 and 214.83

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Solution

The fourth proportional to 864.10, 1,296.15 and 214.83 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.10 : 1,296.15 = 214.83 : x
  2. Step 2: Convert to fraction form
    864.10/1,296.15 = 214.83/x
  3. Step 3: Cross multiply
    864.10x = 1,296.15 × 214.83
  4. Step 4: Simplify right side
    864.10x = 278,451.90
  5. Step 5: Solve for x
    x = 278,451.90/864.10
  6. Step 6: Final answer
    x = 322.25

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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.