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Finding the Fourth Proportional to 613.42, 846.83 and 473.22

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Solution

The fourth proportional to 613.42, 846.83 and 473.22 is: 653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.42 : 846.83 = 473.22 : x
  2. Step 2: Convert to fraction form
    613.42/846.83 = 473.22/x
  3. Step 3: Cross multiply
    613.42x = 846.83 × 473.22
  4. Step 4: Simplify right side
    613.42x = 400,736.74
  5. Step 5: Solve for x
    x = 400,736.74/613.42
  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.