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Finding the Fourth Proportional to 557.70, 769.68 and 309.10

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Solution

The fourth proportional to 557.70, 769.68 and 309.10 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.70 : 769.68 = 309.10 : x
  2. Step 2: Convert to fraction form
    557.70/769.68 = 309.10/x
  3. Step 3: Cross multiply
    557.70x = 769.68 × 309.10
  4. Step 4: Simplify right side
    557.70x = 237,908.09
  5. Step 5: Solve for x
    x = 237,908.09/557.70
  6. Step 6: Final answer
    x = 426.59

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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.