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Finding the Fourth Proportional to 613.30, 846.33 and 347.74

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Solution

The fourth proportional to 613.30, 846.33 and 347.74 is: 479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.30 : 846.33 = 347.74 : x
  2. Step 2: Convert to fraction form
    613.30/846.33 = 347.74/x
  3. Step 3: Cross multiply
    613.30x = 846.33 × 347.74
  4. Step 4: Simplify right side
    613.30x = 294,302.79
  5. Step 5: Solve for x
    x = 294,302.79/613.30
  6. Step 6: Final answer
    x = 479.87

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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.