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Finding the Fourth Proportional to 675.46, 932.11 and 380.71

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Solution

The fourth proportional to 675.46, 932.11 and 380.71 is: 525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.46 : 932.11 = 380.71 : x
  2. Step 2: Convert to fraction form
    675.46/932.11 = 380.71/x
  3. Step 3: Cross multiply
    675.46x = 932.11 × 380.71
  4. Step 4: Simplify right side
    675.46x = 354,857.03
  5. Step 5: Solve for x
    x = 354,857.03/675.46
  6. Step 6: Final answer
    x = 525.36

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1.5x scale

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.