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Finding the Fourth Proportional to 407.82, 562.76 and 233.16

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Solution

The fourth proportional to 407.82, 562.76 and 233.16 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.82 : 562.76 = 233.16 : x
  2. Step 2: Convert to fraction form
    407.82/562.76 = 233.16/x
  3. Step 3: Cross multiply
    407.82x = 562.76 × 233.16
  4. Step 4: Simplify right side
    407.82x = 131,213.12
  5. Step 5: Solve for x
    x = 131,213.12/407.82
  6. Step 6: Final answer
    x = 321.74

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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.