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Finding the Fourth Proportional to 557.90, 769.94 and 309.23

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Solution

The fourth proportional to 557.90, 769.94 and 309.23 is: 426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.90 : 769.94 = 309.23 : x
  2. Step 2: Convert to fraction form
    557.90/769.94 = 309.23/x
  3. Step 3: Cross multiply
    557.90x = 769.94 × 309.23
  4. Step 4: Simplify right side
    557.90x = 238,091.24
  5. Step 5: Solve for x
    x = 238,091.24/557.90
  6. Step 6: Final answer
    x = 426.76

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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.