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Finding the Fourth Proportional to 559.60, 772.25 and 310.92

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Solution

The fourth proportional to 559.60, 772.25 and 310.92 is: 429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.60 : 772.25 = 310.92 : x
  2. Step 2: Convert to fraction form
    559.60/772.25 = 310.92/x
  3. Step 3: Cross multiply
    559.60x = 772.25 × 310.92
  4. Step 4: Simplify right side
    559.60x = 240,108.75
  5. Step 5: Solve for x
    x = 240,108.75/559.60
  6. Step 6: Final answer
    x = 429.07

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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.