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Finding the Fourth Proportional to 675.71, 932.43 and 380.99

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Solution

The fourth proportional to 675.71, 932.43 and 380.99 is: 525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.71 : 932.43 = 380.99 : x
  2. Step 2: Convert to fraction form
    675.71/932.43 = 380.99/x
  3. Step 3: Cross multiply
    675.71x = 932.43 × 380.99
  4. Step 4: Simplify right side
    675.71x = 355,241.84
  5. Step 5: Solve for x
    x = 355,241.84/675.71
  6. Step 6: Final answer
    x = 525.74

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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.