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Finding the Fourth Proportional to 407.97, 562.93 and 230.90

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Solution

The fourth proportional to 407.97, 562.93 and 230.90 is: 318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.97 : 562.93 = 230.90 : x
  2. Step 2: Convert to fraction form
    407.97/562.93 = 230.90/x
  3. Step 3: Cross multiply
    407.97x = 562.93 × 230.90
  4. Step 4: Simplify right side
    407.97x = 129,981.37
  5. Step 5: Solve for x
    x = 129,981.37/407.97
  6. Step 6: Final answer
    x = 318.61

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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.