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Finding the Fourth Proportional to 613.20, 846.39 and 502.95

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Solution

The fourth proportional to 613.20, 846.39 and 502.95 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.20 : 846.39 = 502.95 : x
  2. Step 2: Convert to fraction form
    613.20/846.39 = 502.95/x
  3. Step 3: Cross multiply
    613.20x = 846.39 × 502.95
  4. Step 4: Simplify right side
    613.20x = 425,691.85
  5. Step 5: Solve for x
    x = 425,691.85/613.20
  6. Step 6: Final answer
    x = 694.21

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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.