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Finding the Fourth Proportional to 557.56, 836.07 and 232.84

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Solution

The fourth proportional to 557.56, 836.07 and 232.84 is: 349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.56 : 836.07 = 232.84 : x
  2. Step 2: Convert to fraction form
    557.56/836.07 = 232.84/x
  3. Step 3: Cross multiply
    557.56x = 836.07 × 232.84
  4. Step 4: Simplify right side
    557.56x = 194,670.54
  5. Step 5: Solve for x
    x = 194,670.54/557.56
  6. Step 6: Final answer
    x = 349.15

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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.