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Finding the Fourth Proportional to 519.48, 776.84 and 387.95

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Solution

The fourth proportional to 519.48, 776.84 and 387.95 is: 580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.48 : 776.84 = 387.95 : x
  2. Step 2: Convert to fraction form
    519.48/776.84 = 387.95/x
  3. Step 3: Cross multiply
    519.48x = 776.84 × 387.95
  4. Step 4: Simplify right side
    519.48x = 301,369.25
  5. Step 5: Solve for x
    x = 301,369.25/519.48
  6. Step 6: Final answer
    x = 580.14

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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.