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Finding the Fourth Proportional to 559.65, 773.06 and 428.43

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Solution

The fourth proportional to 559.65, 773.06 and 428.43 is: 591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.65 : 773.06 = 428.43 : x
  2. Step 2: Convert to fraction form
    559.65/773.06 = 428.43/x
  3. Step 3: Cross multiply
    559.65x = 773.06 × 428.43
  4. Step 4: Simplify right side
    559.65x = 331,199.95
  5. Step 5: Solve for x
    x = 331,199.95/559.65
  6. Step 6: Final answer
    x = 591.80

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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.