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Finding the Fourth Proportional to 407.27, 562.11 and 232.63

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Solution

The fourth proportional to 407.27, 562.11 and 232.63 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.27 : 562.11 = 232.63 : x
  2. Step 2: Convert to fraction form
    407.27/562.11 = 232.63/x
  3. Step 3: Cross multiply
    407.27x = 562.11 × 232.63
  4. Step 4: Simplify right side
    407.27x = 130,763.65
  5. Step 5: Solve for x
    x = 130,763.65/407.27
  6. Step 6: Final answer
    x = 321.07

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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.