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Finding the Fourth Proportional to 346.83, 474.86 and 343.49

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Solution

The fourth proportional to 346.83, 474.86 and 343.49 is: 470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.83 : 474.86 = 343.49 : x
  2. Step 2: Convert to fraction form
    346.83/474.86 = 343.49/x
  3. Step 3: Cross multiply
    346.83x = 474.86 × 343.49
  4. Step 4: Simplify right side
    346.83x = 163,105.57
  5. Step 5: Solve for x
    x = 163,105.57/346.83
  6. Step 6: Final answer
    x = 470.28

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