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Finding the Fourth Proportional to 407.82, 562.71 and 233.22

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Solution

The fourth proportional to 407.82, 562.71 and 233.22 is: 321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.82 : 562.71 = 233.22 : x
  2. Step 2: Convert to fraction form
    407.82/562.71 = 233.22/x
  3. Step 3: Cross multiply
    407.82x = 562.71 × 233.22
  4. Step 4: Simplify right side
    407.82x = 131,235.23
  5. Step 5: Solve for x
    x = 131,235.23/407.82
  6. Step 6: Final answer
    x = 321.80

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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.