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Finding the Fourth Proportional to 410.08, 565.23 and 269.92

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Solution

The fourth proportional to 410.08, 565.23 and 269.92 is: 372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.08 : 565.23 = 269.92 : x
  2. Step 2: Convert to fraction form
    410.08/565.23 = 269.92/x
  3. Step 3: Cross multiply
    410.08x = 565.23 × 269.92
  4. Step 4: Simplify right side
    410.08x = 152,566.48
  5. Step 5: Solve for x
    x = 152,566.48/410.08
  6. Step 6: Final answer
    x = 372.04

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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.