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Finding the Fourth Proportional to 519.78, 776.65 and 393.87

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Solution

The fourth proportional to 519.78, 776.65 and 393.87 is: 588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.78 : 776.65 = 393.87 : x
  2. Step 2: Convert to fraction form
    519.78/776.65 = 393.87/x
  3. Step 3: Cross multiply
    519.78x = 776.65 × 393.87
  4. Step 4: Simplify right side
    519.78x = 305,899.14
  5. Step 5: Solve for x
    x = 305,899.14/519.78
  6. Step 6: Final answer
    x = 588.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.