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Finding the Fourth Proportional to 675.20, 931.78 and 380.46

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Solution

The fourth proportional to 675.20, 931.78 and 380.46 is: 525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.20 : 931.78 = 380.46 : x
  2. Step 2: Convert to fraction form
    675.20/931.78 = 380.46/x
  3. Step 3: Cross multiply
    675.20x = 931.78 × 380.46
  4. Step 4: Simplify right side
    675.20x = 354,505.02
  5. Step 5: Solve for x
    x = 354,505.02/675.20
  6. Step 6: Final answer
    x = 525.04

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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.