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Finding the Fourth Proportional to 675.47, 932.14 and 380.80

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Solution

The fourth proportional to 675.47, 932.14 and 380.80 is: 525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.47 : 932.14 = 380.80 : x
  2. Step 2: Convert to fraction form
    675.47/932.14 = 380.80/x
  3. Step 3: Cross multiply
    675.47x = 932.14 × 380.80
  4. Step 4: Simplify right side
    675.47x = 354,960.55
  5. Step 5: Solve for x
    x = 354,960.55/675.47
  6. Step 6: Final answer
    x = 525.50

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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.