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Finding the Fourth Proportional to 559.09, 772.28 and 428.77

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Solution

The fourth proportional to 559.09, 772.28 and 428.77 is: 592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.09 : 772.28 = 428.77 : x
  2. Step 2: Convert to fraction form
    559.09/772.28 = 428.77/x
  3. Step 3: Cross multiply
    559.09x = 772.28 × 428.77
  4. Step 4: Simplify right side
    559.09x = 331,130.50
  5. Step 5: Solve for x
    x = 331,130.50/559.09
  6. Step 6: Final answer
    x = 592.27

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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.