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Finding the Fourth Proportional to 691.26, 953.92 and 380.76

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Solution

The fourth proportional to 691.26, 953.92 and 380.76 is: 525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.26 : 953.92 = 380.76 : x
  2. Step 2: Convert to fraction form
    691.26/953.92 = 380.76/x
  3. Step 3: Cross multiply
    691.26x = 953.92 × 380.76
  4. Step 4: Simplify right side
    691.26x = 363,214.58
  5. Step 5: Solve for x
    x = 363,214.58/691.26
  6. Step 6: Final answer
    x = 525.44

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Double 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.