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Finding the Fourth Proportional to 344.46, 518.56 and 314.70

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Solution

The fourth proportional to 344.46, 518.56 and 314.70 is: 473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.46 : 518.56 = 314.70 : x
  2. Step 2: Convert to fraction form
    344.46/518.56 = 314.70/x
  3. Step 3: Cross multiply
    344.46x = 518.56 × 314.70
  4. Step 4: Simplify right side
    344.46x = 163,189.26
  5. Step 5: Solve for x
    x = 163,189.26/344.46
  6. Step 6: Final answer
    x = 473.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.