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Finding the Fourth Proportional to 864.43, 1,296.30 and 377.14

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Solution

The fourth proportional to 864.43, 1,296.30 and 377.14 is: 565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.43 : 1,296.30 = 377.14 : x
  2. Step 2: Convert to fraction form
    864.43/1,296.30 = 377.14/x
  3. Step 3: Cross multiply
    864.43x = 1,296.30 × 377.14
  4. Step 4: Simplify right side
    864.43x = 488,886.58
  5. Step 5: Solve for x
    x = 488,886.58/864.43
  6. Step 6: Final answer
    x = 565.56

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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.