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Finding the Fourth Proportional to 559.32, 771.88 and 310.64

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Solution

The fourth proportional to 559.32, 771.88 and 310.64 is: 428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.32 : 771.88 = 310.64 : x
  2. Step 2: Convert to fraction form
    559.32/771.88 = 310.64/x
  3. Step 3: Cross multiply
    559.32x = 771.88 × 310.64
  4. Step 4: Simplify right side
    559.32x = 239,776.80
  5. Step 5: Solve for x
    x = 239,776.80/559.32
  6. Step 6: Final answer
    x = 428.69

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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.