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Finding the Fourth Proportional to 559.51, 772.13 and 310.84

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Solution

The fourth proportional to 559.51, 772.13 and 310.84 is: 428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.51 : 772.13 = 310.84 : x
  2. Step 2: Convert to fraction form
    559.51/772.13 = 310.84/x
  3. Step 3: Cross multiply
    559.51x = 772.13 × 310.84
  4. Step 4: Simplify right side
    559.51x = 240,008.89
  5. Step 5: Solve for x
    x = 240,008.89/559.51
  6. Step 6: Final answer
    x = 428.96

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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.