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Finding the Fourth Proportional to 613.42, 846.33 and 351.34

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Solution

The fourth proportional to 613.42, 846.33 and 351.34 is: 484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.42 : 846.33 = 351.34 : x
  2. Step 2: Convert to fraction form
    613.42/846.33 = 351.34/x
  3. Step 3: Cross multiply
    613.42x = 846.33 × 351.34
  4. Step 4: Simplify right side
    613.42x = 297,349.58
  5. Step 5: Solve for x
    x = 297,349.58/613.42
  6. Step 6: Final answer
    x = 484.74

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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.