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Finding the Fourth Proportional to 348.12, 519.44 and 346.10

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Solution

The fourth proportional to 348.12, 519.44 and 346.10 is: 516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.12 : 519.44 = 346.10 : x
  2. Step 2: Convert to fraction form
    348.12/519.44 = 346.10/x
  3. Step 3: Cross multiply
    348.12x = 519.44 × 346.10
  4. Step 4: Simplify right side
    348.12x = 179,773.86
  5. Step 5: Solve for x
    x = 179,773.86/348.12
  6. Step 6: Final answer
    x = 516.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.