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Finding the Fourth Proportional to 675.50, 932.18 and 380.84

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Solution

The fourth proportional to 675.50, 932.18 and 380.84 is: 525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.50 : 932.18 = 380.84 : x
  2. Step 2: Convert to fraction form
    675.50/932.18 = 380.84/x
  3. Step 3: Cross multiply
    675.50x = 932.18 × 380.84
  4. Step 4: Simplify right side
    675.50x = 355,004.87
  5. Step 5: Solve for x
    x = 355,004.87/675.50
  6. Step 6: Final answer
    x = 525.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.