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Finding the Fourth Proportional to 559.51, 772.09 and 310.83

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Solution

The fourth proportional to 559.51, 772.09 and 310.83 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.51 : 772.09 = 310.83 : x
  2. Step 2: Convert to fraction form
    559.51/772.09 = 310.83/x
  3. Step 3: Cross multiply
    559.51x = 772.09 × 310.83
  4. Step 4: Simplify right side
    559.51x = 239,987.18
  5. Step 5: Solve for x
    x = 239,987.18/559.51
  6. Step 6: Final answer
    x = 428.92

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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.