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Finding the Fourth Proportional to 517.59, 776.39 and 508.48

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Solution

The fourth proportional to 517.59, 776.39 and 508.48 is: 762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 776.39 = 508.48 : x
  2. Step 2: Convert to fraction form
    517.59/776.39 = 508.48/x
  3. Step 3: Cross multiply
    517.59x = 776.39 × 508.48
  4. Step 4: Simplify right side
    517.59x = 394,774.30
  5. Step 5: Solve for x
    x = 394,774.30/517.59
  6. Step 6: Final answer
    x = 762.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.