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Finding the Fourth Proportional to 557.05, 834.82 and 232.24

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Solution

The fourth proportional to 557.05, 834.82 and 232.24 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.05 : 834.82 = 232.24 : x
  2. Step 2: Convert to fraction form
    557.05/834.82 = 232.24/x
  3. Step 3: Cross multiply
    557.05x = 834.82 × 232.24
  4. Step 4: Simplify right side
    557.05x = 193,878.60
  5. Step 5: Solve for x
    x = 193,878.60/557.05
  6. Step 6: Final answer
    x = 348.05

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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.