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Finding the Fourth Proportional to 349.20, 478.74 and 343.08

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Solution

The fourth proportional to 349.20, 478.74 and 343.08 is: 470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.20 : 478.74 = 343.08 : x
  2. Step 2: Convert to fraction form
    349.20/478.74 = 343.08/x
  3. Step 3: Cross multiply
    349.20x = 478.74 × 343.08
  4. Step 4: Simplify right side
    349.20x = 164,246.12
  5. Step 5: Solve for x
    x = 164,246.12/349.20
  6. Step 6: Final answer
    x = 470.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.