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Finding the Fourth Proportional to 557.91, 837.02 and 233.20

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Solution

The fourth proportional to 557.91, 837.02 and 233.20 is: 349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.91 : 837.02 = 233.20 : x
  2. Step 2: Convert to fraction form
    557.91/837.02 = 233.20/x
  3. Step 3: Cross multiply
    557.91x = 837.02 × 233.20
  4. Step 4: Simplify right side
    557.91x = 195,193.06
  5. Step 5: Solve for x
    x = 195,193.06/557.91
  6. Step 6: Final answer
    x = 349.86

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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.