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Finding the Fourth Proportional to 559.08, 771.56 and 310.42

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Solution

The fourth proportional to 559.08, 771.56 and 310.42 is: 428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.08 : 771.56 = 310.42 : x
  2. Step 2: Convert to fraction form
    559.08/771.56 = 310.42/x
  3. Step 3: Cross multiply
    559.08x = 771.56 × 310.42
  4. Step 4: Simplify right side
    559.08x = 239,507.66
  5. Step 5: Solve for x
    x = 239,507.66/559.08
  6. Step 6: Final answer
    x = 428.40

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Why These Related Problems?

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