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Finding the Fourth Proportional to 519.53, 779.13 and 437.81

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Solution

The fourth proportional to 519.53, 779.13 and 437.81 is: 656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.53 : 779.13 = 437.81 : x
  2. Step 2: Convert to fraction form
    519.53/779.13 = 437.81/x
  3. Step 3: Cross multiply
    519.53x = 779.13 × 437.81
  4. Step 4: Simplify right side
    519.53x = 341,107.01
  5. Step 5: Solve for x
    x = 341,107.01/519.53
  6. Step 6: Final answer
    x = 656.57

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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.