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Finding the Fourth Proportional to 613.19, 846.21 and 347.61

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Solution

The fourth proportional to 613.19, 846.21 and 347.61 is: 479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.19 : 846.21 = 347.61 : x
  2. Step 2: Convert to fraction form
    613.19/846.21 = 347.61/x
  3. Step 3: Cross multiply
    613.19x = 846.21 × 347.61
  4. Step 4: Simplify right side
    613.19x = 294,155.53
  5. Step 5: Solve for x
    x = 294,155.53/613.19
  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.