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Finding the Fourth Proportional to 559.27, 770.92 and 460.85

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Solution

The fourth proportional to 559.27, 770.92 and 460.85 is: 635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.27 : 770.92 = 460.85 : x
  2. Step 2: Convert to fraction form
    559.27/770.92 = 460.85/x
  3. Step 3: Cross multiply
    559.27x = 770.92 × 460.85
  4. Step 4: Simplify right side
    559.27x = 355,278.48
  5. Step 5: Solve for x
    x = 355,278.48/559.27
  6. Step 6: Final answer
    x = 635.25

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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.