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Finding the Fourth Proportional to 675.57, 932.31 and 380.84

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Solution

The fourth proportional to 675.57, 932.31 and 380.84 is: 525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.57 : 932.31 = 380.84 : x
  2. Step 2: Convert to fraction form
    675.57/932.31 = 380.84/x
  3. Step 3: Cross multiply
    675.57x = 932.31 × 380.84
  4. Step 4: Simplify right side
    675.57x = 355,056.28
  5. Step 5: Solve for x
    x = 355,056.28/675.57
  6. Step 6: Final answer
    x = 525.56

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Why These Related Problems?

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