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Finding the Fourth Proportional to 407.49, 562.29 and 230.43

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Solution

The fourth proportional to 407.49, 562.29 and 230.43 is: 317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.49 : 562.29 = 230.43 : x
  2. Step 2: Convert to fraction form
    407.49/562.29 = 230.43/x
  3. Step 3: Cross multiply
    407.49x = 562.29 × 230.43
  4. Step 4: Simplify right side
    407.49x = 129,568.48
  5. Step 5: Solve for x
    x = 129,568.48/407.49
  6. Step 6: Final answer
    x = 317.97

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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.