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Finding the Fourth Proportional to 407.71, 562.64 and 233.05

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Solution

The fourth proportional to 407.71, 562.64 and 233.05 is: 321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.71 : 562.64 = 233.05 : x
  2. Step 2: Convert to fraction form
    407.71/562.64 = 233.05/x
  3. Step 3: Cross multiply
    407.71x = 562.64 × 233.05
  4. Step 4: Simplify right side
    407.71x = 131,123.25
  5. Step 5: Solve for x
    x = 131,123.25/407.71
  6. Step 6: Final answer
    x = 321.61

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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.