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Finding the Fourth Proportional to 557.09, 769.52 and 426.77

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Solution

The fourth proportional to 557.09, 769.52 and 426.77 is: 589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.09 : 769.52 = 426.77 : x
  2. Step 2: Convert to fraction form
    557.09/769.52 = 426.77/x
  3. Step 3: Cross multiply
    557.09x = 769.52 × 426.77
  4. Step 4: Simplify right side
    557.09x = 328,405.92
  5. Step 5: Solve for x
    x = 328,405.92/557.09
  6. Step 6: Final answer
    x = 589.50

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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.