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Finding the Fourth Proportional to 675.29, 931.82 and 380.50

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Solution

The fourth proportional to 675.29, 931.82 and 380.50 is: 525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.29 : 931.82 = 380.50 : x
  2. Step 2: Convert to fraction form
    675.29/931.82 = 380.50/x
  3. Step 3: Cross multiply
    675.29x = 931.82 × 380.50
  4. Step 4: Simplify right side
    675.29x = 354,553.28
  5. Step 5: Solve for x
    x = 354,553.28/675.29
  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.