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Finding the Fourth Proportional to 579.78, 869.47 and 233.03

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Solution

The fourth proportional to 579.78, 869.47 and 233.03 is: 349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.78 : 869.47 = 233.03 : x
  2. Step 2: Convert to fraction form
    579.78/869.47 = 233.03/x
  3. Step 3: Cross multiply
    579.78x = 869.47 × 233.03
  4. Step 4: Simplify right side
    579.78x = 202,610.61
  5. Step 5: Solve for x
    x = 202,610.61/579.78
  6. Step 6: Final answer
    x = 349.46

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