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Finding the Fourth Proportional to 559.62, 771.90 and 485.78

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Solution

The fourth proportional to 559.62, 771.90 and 485.78 is: 670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.62 : 771.90 = 485.78 : x
  2. Step 2: Convert to fraction form
    559.62/771.90 = 485.78/x
  3. Step 3: Cross multiply
    559.62x = 771.90 × 485.78
  4. Step 4: Simplify right side
    559.62x = 374,969.72
  5. Step 5: Solve for x
    x = 374,969.72/559.62
  6. Step 6: Final answer
    x = 670.04

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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.