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Finding the Fourth Proportional to 613.30, 846.14 and 347.71

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Solution

The fourth proportional to 613.30, 846.14 and 347.71 is: 479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.30 : 846.14 = 347.71 : x
  2. Step 2: Convert to fraction form
    613.30/846.14 = 347.71/x
  3. Step 3: Cross multiply
    613.30x = 846.14 × 347.71
  4. Step 4: Simplify right side
    613.30x = 294,207.49
  5. Step 5: Solve for x
    x = 294,207.49/613.30
  6. Step 6: Final answer
    x = 479.71

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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.