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Finding the Fourth Proportional to 559.94, 772.69 and 311.25

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Solution

The fourth proportional to 559.94, 772.69 and 311.25 is: 429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.94 : 772.69 = 311.25 : x
  2. Step 2: Convert to fraction form
    559.94/772.69 = 311.25/x
  3. Step 3: Cross multiply
    559.94x = 772.69 × 311.25
  4. Step 4: Simplify right side
    559.94x = 240,499.76
  5. Step 5: Solve for x
    x = 240,499.76/559.94
  6. Step 6: Final answer
    x = 429.51

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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.