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Finding the Fourth Proportional to 557.91, 836.87 and 233.64

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Solution

The fourth proportional to 557.91, 836.87 and 233.64 is: 350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.91 : 836.87 = 233.64 : x
  2. Step 2: Convert to fraction form
    557.91/836.87 = 233.64/x
  3. Step 3: Cross multiply
    557.91x = 836.87 × 233.64
  4. Step 4: Simplify right side
    557.91x = 195,525.14
  5. Step 5: Solve for x
    x = 195,525.14/557.91
  6. Step 6: Final answer
    x = 350.46

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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.