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Finding the Fourth Proportional to 559.74, 772.45 and 311.08

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Solution

The fourth proportional to 559.74, 772.45 and 311.08 is: 429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.74 : 772.45 = 311.08 : x
  2. Step 2: Convert to fraction form
    559.74/772.45 = 311.08/x
  3. Step 3: Cross multiply
    559.74x = 772.45 × 311.08
  4. Step 4: Simplify right side
    559.74x = 240,291.04
  5. Step 5: Solve for x
    x = 240,291.04/559.74
  6. Step 6: Final answer
    x = 429.29

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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.