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Finding the Fourth Proportional to 559.82, 772.53 and 311.14

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Solution

The fourth proportional to 559.82, 772.53 and 311.14 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.82 : 772.53 = 311.14 : x
  2. Step 2: Convert to fraction form
    559.82/772.53 = 311.14/x
  3. Step 3: Cross multiply
    559.82x = 772.53 × 311.14
  4. Step 4: Simplify right side
    559.82x = 240,364.57
  5. Step 5: Solve for x
    x = 240,364.57/559.82
  6. Step 6: Final answer
    x = 429.36

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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.