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Finding the Fourth Proportional to 675.27, 931.87 and 380.53

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Solution

The fourth proportional to 675.27, 931.87 and 380.53 is: 525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.27 : 931.87 = 380.53 : x
  2. Step 2: Convert to fraction form
    675.27/931.87 = 380.53/x
  3. Step 3: Cross multiply
    675.27x = 931.87 × 380.53
  4. Step 4: Simplify right side
    675.27x = 354,604.49
  5. Step 5: Solve for x
    x = 354,604.49/675.27
  6. Step 6: Final answer
    x = 525.13

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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.