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Finding the Fourth Proportional to 517.28, 713.76 and 310.28

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Solution

The fourth proportional to 517.28, 713.76 and 310.28 is: 428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.28 : 713.76 = 310.28 : x
  2. Step 2: Convert to fraction form
    517.28/713.76 = 310.28/x
  3. Step 3: Cross multiply
    517.28x = 713.76 × 310.28
  4. Step 4: Simplify right side
    517.28x = 221,465.45
  5. Step 5: Solve for x
    x = 221,465.45/517.28
  6. Step 6: Final answer
    x = 428.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.