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Finding the Fourth Proportional to 407.91, 562.94 and 233.25

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Solution

The fourth proportional to 407.91, 562.94 and 233.25 is: 321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.91 : 562.94 = 233.25 : x
  2. Step 2: Convert to fraction form
    407.91/562.94 = 233.25/x
  3. Step 3: Cross multiply
    407.91x = 562.94 × 233.25
  4. Step 4: Simplify right side
    407.91x = 131,305.76
  5. Step 5: Solve for x
    x = 131,305.76/407.91
  6. Step 6: Final answer
    x = 321.90

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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.