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Finding the Fourth Proportional to 424.08, 584.92 and 340.86

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Solution

The fourth proportional to 424.08, 584.92 and 340.86 is: 470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.08 : 584.92 = 340.86 : x
  2. Step 2: Convert to fraction form
    424.08/584.92 = 340.86/x
  3. Step 3: Cross multiply
    424.08x = 584.92 × 340.86
  4. Step 4: Simplify right side
    424.08x = 199,375.83
  5. Step 5: Solve for x
    x = 199,375.83/424.08
  6. Step 6: Final answer
    x = 470.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.