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Finding the Fourth Proportional to 520.32, 779.85 and 398.22

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Solution

The fourth proportional to 520.32, 779.85 and 398.22 is: 596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.32 : 779.85 = 398.22 : x
  2. Step 2: Convert to fraction form
    520.32/779.85 = 398.22/x
  3. Step 3: Cross multiply
    520.32x = 779.85 × 398.22
  4. Step 4: Simplify right side
    520.32x = 310,551.87
  5. Step 5: Solve for x
    x = 310,551.87/520.32
  6. Step 6: Final answer
    x = 596.85

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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.