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Finding the Fourth Proportional to 675.40, 932.09 and 380.76

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Solution

The fourth proportional to 675.40, 932.09 and 380.76 is: 525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.40 : 932.09 = 380.76 : x
  2. Step 2: Convert to fraction form
    675.40/932.09 = 380.76/x
  3. Step 3: Cross multiply
    675.40x = 932.09 × 380.76
  4. Step 4: Simplify right side
    675.40x = 354,902.59
  5. Step 5: Solve for x
    x = 354,902.59/675.40
  6. Step 6: Final answer
    x = 525.47

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1.5x scale

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.