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Finding the Fourth Proportional to 559.99, 772.78 and 311.35

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Solution

The fourth proportional to 559.99, 772.78 and 311.35 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.99 : 772.78 = 311.35 : x
  2. Step 2: Convert to fraction form
    559.99/772.78 = 311.35/x
  3. Step 3: Cross multiply
    559.99x = 772.78 × 311.35
  4. Step 4: Simplify right side
    559.99x = 240,605.05
  5. Step 5: Solve for x
    x = 240,605.05/559.99
  6. Step 6: Final answer
    x = 429.66

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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.