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Finding the Fourth Proportional to 558.80, 771.06 and 310.10

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Solution

The fourth proportional to 558.80, 771.06 and 310.10 is: 427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.80 : 771.06 = 310.10 : x
  2. Step 2: Convert to fraction form
    558.80/771.06 = 310.10/x
  3. Step 3: Cross multiply
    558.80x = 771.06 × 310.10
  4. Step 4: Simplify right side
    558.80x = 239,105.71
  5. Step 5: Solve for x
    x = 239,105.71/558.80
  6. Step 6: Final answer
    x = 427.90

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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.