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Finding the Fourth Proportional to 675.70, 932.46 and 381.05

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Solution

The fourth proportional to 675.70, 932.46 and 381.05 is: 525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.70 : 932.46 = 381.05 : x
  2. Step 2: Convert to fraction form
    675.70/932.46 = 381.05/x
  3. Step 3: Cross multiply
    675.70x = 932.46 × 381.05
  4. Step 4: Simplify right side
    675.70x = 355,313.88
  5. Step 5: Solve for x
    x = 355,313.88/675.70
  6. Step 6: Final answer
    x = 525.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.