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Finding the Fourth Proportional to 407.86, 562.80 and 233.14

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Solution

The fourth proportional to 407.86, 562.80 and 233.14 is: 321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.86 : 562.80 = 233.14 : x
  2. Step 2: Convert to fraction form
    407.86/562.80 = 233.14/x
  3. Step 3: Cross multiply
    407.86x = 562.80 × 233.14
  4. Step 4: Simplify right side
    407.86x = 131,211.19
  5. Step 5: Solve for x
    x = 131,211.19/407.86
  6. Step 6: Final answer
    x = 321.71

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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.