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Finding the Fourth Proportional to 559.94, 772.74 and 311.24

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Solution

The fourth proportional to 559.94, 772.74 and 311.24 is: 429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.94 : 772.74 = 311.24 : x
  2. Step 2: Convert to fraction form
    559.94/772.74 = 311.24/x
  3. Step 3: Cross multiply
    559.94x = 772.74 × 311.24
  4. Step 4: Simplify right side
    559.94x = 240,509.53
  5. Step 5: Solve for x
    x = 240,509.53/559.94
  6. Step 6: Final answer
    x = 429.53

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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.