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Finding the Fourth Proportional to 675.54, 932.23 and 380.80

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Solution

The fourth proportional to 675.54, 932.23 and 380.80 is: 525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.54 : 932.23 = 380.80 : x
  2. Step 2: Convert to fraction form
    675.54/932.23 = 380.80/x
  3. Step 3: Cross multiply
    675.54x = 932.23 × 380.80
  4. Step 4: Simplify right side
    675.54x = 354,989.90
  5. Step 5: Solve for x
    x = 354,989.90/675.54
  6. Step 6: Final answer
    x = 525.49

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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.