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Finding the Fourth Proportional to 675.53, 932.11 and 380.81

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Solution

The fourth proportional to 675.53, 932.11 and 380.81 is: 525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.53 : 932.11 = 380.81 : x
  2. Step 2: Convert to fraction form
    675.53/932.11 = 380.81/x
  3. Step 3: Cross multiply
    675.53x = 932.11 × 380.81
  4. Step 4: Simplify right side
    675.53x = 354,950.24
  5. Step 5: Solve for x
    x = 354,950.24/675.53
  6. Step 6: Final answer
    x = 525.44

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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.