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Finding the Fourth Proportional to 519.52, 776.36 and 453.92

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Solution

The fourth proportional to 519.52, 776.36 and 453.92 is: 678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.52 : 776.36 = 453.92 : x
  2. Step 2: Convert to fraction form
    519.52/776.36 = 453.92/x
  3. Step 3: Cross multiply
    519.52x = 776.36 × 453.92
  4. Step 4: Simplify right side
    519.52x = 352,405.33
  5. Step 5: Solve for x
    x = 352,405.33/519.52
  6. Step 6: Final answer
    x = 678.33

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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.