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Finding the Fourth Proportional to 565.81, 848.49 and 227.61

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Solution

The fourth proportional to 565.81, 848.49 and 227.61 is: 341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.81 : 848.49 = 227.61 : x
  2. Step 2: Convert to fraction form
    565.81/848.49 = 227.61/x
  3. Step 3: Cross multiply
    565.81x = 848.49 × 227.61
  4. Step 4: Simplify right side
    565.81x = 193,120.57
  5. Step 5: Solve for x
    x = 193,120.57/565.81
  6. Step 6: Final answer
    x = 341.32

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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.