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Finding the Fourth Proportional to 559.91, 772.67 and 311.23

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Solution

The fourth proportional to 559.91, 772.67 and 311.23 is: 429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.91 : 772.67 = 311.23 : x
  2. Step 2: Convert to fraction form
    559.91/772.67 = 311.23/x
  3. Step 3: Cross multiply
    559.91x = 772.67 × 311.23
  4. Step 4: Simplify right side
    559.91x = 240,478.08
  5. Step 5: Solve for x
    x = 240,478.08/559.91
  6. Step 6: Final answer
    x = 429.49

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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.