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Finding the Fourth Proportional to 613.30, 846.23 and 347.62

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Solution

The fourth proportional to 613.30, 846.23 and 347.62 is: 479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.30 : 846.23 = 347.62 : x
  2. Step 2: Convert to fraction form
    613.30/846.23 = 347.62/x
  3. Step 3: Cross multiply
    613.30x = 846.23 × 347.62
  4. Step 4: Simplify right side
    613.30x = 294,166.47
  5. Step 5: Solve for x
    x = 294,166.47/613.30
  6. Step 6: Final answer
    x = 479.65

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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.