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Finding the Fourth Proportional to 559.64, 772.31 and 310.97

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Solution

The fourth proportional to 559.64, 772.31 and 310.97 is: 429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.64 : 772.31 = 310.97 : x
  2. Step 2: Convert to fraction form
    559.64/772.31 = 310.97/x
  3. Step 3: Cross multiply
    559.64x = 772.31 × 310.97
  4. Step 4: Simplify right side
    559.64x = 240,159.82
  5. Step 5: Solve for x
    x = 240,159.82/559.64
  6. Step 6: Final answer
    x = 429.14

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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.