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Finding the Fourth Proportional to 864.16, 1,296.24 and 214.90

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Solution

The fourth proportional to 864.16, 1,296.24 and 214.90 is: 322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.16 : 1,296.24 = 214.90 : x
  2. Step 2: Convert to fraction form
    864.16/1,296.24 = 214.90/x
  3. Step 3: Cross multiply
    864.16x = 1,296.24 × 214.90
  4. Step 4: Simplify right side
    864.16x = 278,561.98
  5. Step 5: Solve for x
    x = 278,561.98/864.16
  6. Step 6: Final answer
    x = 322.35

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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.