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Finding the Fourth Proportional to 519.67, 717.69 and 386.70

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Solution

The fourth proportional to 519.67, 717.69 and 386.70 is: 534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.67 : 717.69 = 386.70 : x
  2. Step 2: Convert to fraction form
    519.67/717.69 = 386.70/x
  3. Step 3: Cross multiply
    519.67x = 717.69 × 386.70
  4. Step 4: Simplify right side
    519.67x = 277,530.72
  5. Step 5: Solve for x
    x = 277,530.72/519.67
  6. Step 6: Final answer
    x = 534.05

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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.