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Finding the Fourth Proportional to 557.20, 836.02 and 232.80

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Solution

The fourth proportional to 557.20, 836.02 and 232.80 is: 349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.20 : 836.02 = 232.80 : x
  2. Step 2: Convert to fraction form
    557.20/836.02 = 232.80/x
  3. Step 3: Cross multiply
    557.20x = 836.02 × 232.80
  4. Step 4: Simplify right side
    557.20x = 194,625.46
  5. Step 5: Solve for x
    x = 194,625.46/557.20
  6. Step 6: Final answer
    x = 349.29

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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.