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Finding the Fourth Proportional to 631.27, 870.92 and 410.41

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Solution

The fourth proportional to 631.27, 870.92 and 410.41 is: 566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.27 : 870.92 = 410.41 : x
  2. Step 2: Convert to fraction form
    631.27/870.92 = 410.41/x
  3. Step 3: Cross multiply
    631.27x = 870.92 × 410.41
  4. Step 4: Simplify right side
    631.27x = 357,432.23
  5. Step 5: Solve for x
    x = 357,432.23/631.27
  6. Step 6: Final answer
    x = 566.21

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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.