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Finding the Fourth Proportional to 557.06, 835.45 and 232.38

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Solution

The fourth proportional to 557.06, 835.45 and 232.38 is: 348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.06 : 835.45 = 232.38 : x
  2. Step 2: Convert to fraction form
    557.06/835.45 = 232.38/x
  3. Step 3: Cross multiply
    557.06x = 835.45 × 232.38
  4. Step 4: Simplify right side
    557.06x = 194,141.29
  5. Step 5: Solve for x
    x = 194,141.29/557.06
  6. Step 6: Final answer
    x = 348.51

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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.