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Finding the Fourth Proportional to 675.38, 932.10 and 380.64

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Solution

The fourth proportional to 675.38, 932.10 and 380.64 is: 525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.38 : 932.10 = 380.64 : x
  2. Step 2: Convert to fraction form
    675.38/932.10 = 380.64/x
  3. Step 3: Cross multiply
    675.38x = 932.10 × 380.64
  4. Step 4: Simplify right side
    675.38x = 354,794.54
  5. Step 5: Solve for x
    x = 354,794.54/675.38
  6. Step 6: Final answer
    x = 525.33

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Half scale
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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.