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Finding the Fourth Proportional to 565.92, 849.06 and 277.56

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Solution

The fourth proportional to 565.92, 849.06 and 277.56 is: 416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 849.06 = 277.56 : x
  2. Step 2: Convert to fraction form
    565.92/849.06 = 277.56/x
  3. Step 3: Cross multiply
    565.92x = 849.06 × 277.56
  4. Step 4: Simplify right side
    565.92x = 235,665.09
  5. Step 5: Solve for x
    x = 235,665.09/565.92
  6. Step 6: Final answer
    x = 416.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.