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Finding the Fourth Proportional to 862.18, 1,293.28 and 342.16

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Solution

The fourth proportional to 862.18, 1,293.28 and 342.16 is: 513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.18 : 1,293.28 = 342.16 : x
  2. Step 2: Convert to fraction form
    862.18/1,293.28 = 342.16/x
  3. Step 3: Cross multiply
    862.18x = 1,293.28 × 342.16
  4. Step 4: Simplify right side
    862.18x = 442,508.68
  5. Step 5: Solve for x
    x = 442,508.68/862.18
  6. Step 6: Final answer
    x = 513.24

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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.