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Finding the Fourth Proportional to 557.94, 769.96 and 309.28

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Solution

The fourth proportional to 557.94, 769.96 and 309.28 is: 426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 769.96 = 309.28 : x
  2. Step 2: Convert to fraction form
    557.94/769.96 = 309.28/x
  3. Step 3: Cross multiply
    557.94x = 769.96 × 309.28
  4. Step 4: Simplify right side
    557.94x = 238,133.23
  5. Step 5: Solve for x
    x = 238,133.23/557.94
  6. Step 6: Final answer
    x = 426.81

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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.