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Finding the Fourth Proportional to 579.95, 869.92 and 233.47

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Solution

The fourth proportional to 579.95, 869.92 and 233.47 is: 350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.95 : 869.92 = 233.47 : x
  2. Step 2: Convert to fraction form
    579.95/869.92 = 233.47/x
  3. Step 3: Cross multiply
    579.95x = 869.92 × 233.47
  4. Step 4: Simplify right side
    579.95x = 203,100.22
  5. Step 5: Solve for x
    x = 203,100.22/579.95
  6. Step 6: Final answer
    x = 350.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.