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Finding the Fourth Proportional to 347.10, 478.62 and 343.59

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Solution

The fourth proportional to 347.10, 478.62 and 343.59 is: 473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.10 : 478.62 = 343.59 : x
  2. Step 2: Convert to fraction form
    347.10/478.62 = 343.59/x
  3. Step 3: Cross multiply
    347.10x = 478.62 × 343.59
  4. Step 4: Simplify right side
    347.10x = 164,449.05
  5. Step 5: Solve for x
    x = 164,449.05/347.10
  6. Step 6: Final answer
    x = 473.78

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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.