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Finding the Fourth Proportional to 557.91, 769.91 and 309.23

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Solution

The fourth proportional to 557.91, 769.91 and 309.23 is: 426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.91 : 769.91 = 309.23 : x
  2. Step 2: Convert to fraction form
    557.91/769.91 = 309.23/x
  3. Step 3: Cross multiply
    557.91x = 769.91 × 309.23
  4. Step 4: Simplify right side
    557.91x = 238,079.27
  5. Step 5: Solve for x
    x = 238,079.27/557.91
  6. Step 6: Final answer
    x = 426.73

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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.