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Finding the Fourth Proportional to 675.60, 932.19 and 380.82

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Solution

The fourth proportional to 675.60, 932.19 and 380.82 is: 525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.60 : 932.19 = 380.82 : x
  2. Step 2: Convert to fraction form
    675.60/932.19 = 380.82/x
  3. Step 3: Cross multiply
    675.60x = 932.19 × 380.82
  4. Step 4: Simplify right side
    675.60x = 354,996.60
  5. Step 5: Solve for x
    x = 354,996.60/675.60
  6. Step 6: Final answer
    x = 525.45

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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.