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Finding the Fourth Proportional to 675.46, 932.07 and 380.83

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Solution

The fourth proportional to 675.46, 932.07 and 380.83 is: 525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.46 : 932.07 = 380.83 : x
  2. Step 2: Convert to fraction form
    675.46/932.07 = 380.83/x
  3. Step 3: Cross multiply
    675.46x = 932.07 × 380.83
  4. Step 4: Simplify right side
    675.46x = 354,960.22
  5. Step 5: Solve for x
    x = 354,960.22/675.46
  6. Step 6: Final answer
    x = 525.51

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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.