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Finding the Fourth Proportional to 407.92, 562.91 and 230.91

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Solution

The fourth proportional to 407.92, 562.91 and 230.91 is: 318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.92 : 562.91 = 230.91 : x
  2. Step 2: Convert to fraction form
    407.92/562.91 = 230.91/x
  3. Step 3: Cross multiply
    407.92x = 562.91 × 230.91
  4. Step 4: Simplify right side
    407.92x = 129,981.55
  5. Step 5: Solve for x
    x = 129,981.55/407.92
  6. Step 6: Final answer
    x = 318.64

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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.