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Finding the Fourth Proportional to 406.92, 562.44 and 297.17

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Solution

The fourth proportional to 406.92, 562.44 and 297.17 is: 410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.92 : 562.44 = 297.17 : x
  2. Step 2: Convert to fraction form
    406.92/562.44 = 297.17/x
  3. Step 3: Cross multiply
    406.92x = 562.44 × 297.17
  4. Step 4: Simplify right side
    406.92x = 167,140.71
  5. Step 5: Solve for x
    x = 167,140.71/406.92
  6. Step 6: Final answer
    x = 410.74

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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.