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Finding the Fourth Proportional to 407.79, 562.59 and 233.04

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Solution

The fourth proportional to 407.79, 562.59 and 233.04 is: 321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.79 : 562.59 = 233.04 : x
  2. Step 2: Convert to fraction form
    407.79/562.59 = 233.04/x
  3. Step 3: Cross multiply
    407.79x = 562.59 × 233.04
  4. Step 4: Simplify right side
    407.79x = 131,105.97
  5. Step 5: Solve for x
    x = 131,105.97/407.79
  6. Step 6: Final answer
    x = 321.50

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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.