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Finding the Fourth Proportional to 407.68, 562.57 and 230.66

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Solution

The fourth proportional to 407.68, 562.57 and 230.66 is: 318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.68 : 562.57 = 230.66 : x
  2. Step 2: Convert to fraction form
    407.68/562.57 = 230.66/x
  3. Step 3: Cross multiply
    407.68x = 562.57 × 230.66
  4. Step 4: Simplify right side
    407.68x = 129,759.01
  5. Step 5: Solve for x
    x = 129,759.01/407.68
  6. Step 6: Final answer
    x = 318.29

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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.