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Finding the Fourth Proportional to 407.84, 562.82 and 233.20

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Solution

The fourth proportional to 407.84, 562.82 and 233.20 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.84 : 562.82 = 233.20 : x
  2. Step 2: Convert to fraction form
    407.84/562.82 = 233.20/x
  3. Step 3: Cross multiply
    407.84x = 562.82 × 233.20
  4. Step 4: Simplify right side
    407.84x = 131,249.62
  5. Step 5: Solve for x
    x = 131,249.62/407.84
  6. Step 6: Final answer
    x = 321.82

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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.