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Finding the Fourth Proportional to 520.22, 718.11 and 340.85

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Solution

The fourth proportional to 520.22, 718.11 and 340.85 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 718.11 = 340.85 : x
  2. Step 2: Convert to fraction form
    520.22/718.11 = 340.85/x
  3. Step 3: Cross multiply
    520.22x = 718.11 × 340.85
  4. Step 4: Simplify right side
    520.22x = 244,764.20
  5. Step 5: Solve for x
    x = 244,764.20/520.22
  6. Step 6: Final answer
    x = 470.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.