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Finding the Fourth Proportional to 514.94, 711.20 and 508.13

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Solution

The fourth proportional to 514.94, 711.20 and 508.13 is: 701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.94 : 711.20 = 508.13 : x
  2. Step 2: Convert to fraction form
    514.94/711.20 = 508.13/x
  3. Step 3: Cross multiply
    514.94x = 711.20 × 508.13
  4. Step 4: Simplify right side
    514.94x = 361,375.96
  5. Step 5: Solve for x
    x = 361,375.96/514.94
  6. Step 6: Final answer
    x = 701.79

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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.