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Finding the Fourth Proportional to 557.84, 769.78 and 309.17

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Solution

The fourth proportional to 557.84, 769.78 and 309.17 is: 426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.84 : 769.78 = 309.17 : x
  2. Step 2: Convert to fraction form
    557.84/769.78 = 309.17/x
  3. Step 3: Cross multiply
    557.84x = 769.78 × 309.17
  4. Step 4: Simplify right side
    557.84x = 237,992.88
  5. Step 5: Solve for x
    x = 237,992.88/557.84
  6. Step 6: Final answer
    x = 426.63

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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.