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Finding the Fourth Proportional to 343.37, 512.06 and 310.56

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Solution

The fourth proportional to 343.37, 512.06 and 310.56 is: 463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.37 : 512.06 = 310.56 : x
  2. Step 2: Convert to fraction form
    343.37/512.06 = 310.56/x
  3. Step 3: Cross multiply
    343.37x = 512.06 × 310.56
  4. Step 4: Simplify right side
    343.37x = 159,023.80
  5. Step 5: Solve for x
    x = 159,023.80/343.37
  6. Step 6: Final answer
    x = 463.13

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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.