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Finding the Fourth Proportional to 613.10, 846.07 and 347.56

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Solution

The fourth proportional to 613.10, 846.07 and 347.56 is: 479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.10 : 846.07 = 347.56 : x
  2. Step 2: Convert to fraction form
    613.10/846.07 = 347.56/x
  3. Step 3: Cross multiply
    613.10x = 846.07 × 347.56
  4. Step 4: Simplify right side
    613.10x = 294,057.11
  5. Step 5: Solve for x
    x = 294,057.11/613.10
  6. Step 6: Final answer
    x = 479.62

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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.