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Finding the Fourth Proportional to 613.39, 846.82 and 473.20

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Solution

The fourth proportional to 613.39, 846.82 and 473.20 is: 653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.39 : 846.82 = 473.20 : x
  2. Step 2: Convert to fraction form
    613.39/846.82 = 473.20/x
  3. Step 3: Cross multiply
    613.39x = 846.82 × 473.20
  4. Step 4: Simplify right side
    613.39x = 400,717.66
  5. Step 5: Solve for x
    x = 400,717.66/613.39
  6. Step 6: Final answer
    x = 653.29

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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.