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Finding the Fourth Proportional to 557.83, 769.81 and 309.15

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Solution

The fourth proportional to 557.83, 769.81 and 309.15 is: 426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.83 : 769.81 = 309.15 : x
  2. Step 2: Convert to fraction form
    557.83/769.81 = 309.15/x
  3. Step 3: Cross multiply
    557.83x = 769.81 × 309.15
  4. Step 4: Simplify right side
    557.83x = 237,983.29
  5. Step 5: Solve for x
    x = 237,983.29/557.83
  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.