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Finding the Fourth Proportional to 565.77, 780.42 and 344.87

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Solution

The fourth proportional to 565.77, 780.42 and 344.87 is: 475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.77 : 780.42 = 344.87 : x
  2. Step 2: Convert to fraction form
    565.77/780.42 = 344.87/x
  3. Step 3: Cross multiply
    565.77x = 780.42 × 344.87
  4. Step 4: Simplify right side
    565.77x = 269,143.45
  5. Step 5: Solve for x
    x = 269,143.45/565.77
  6. Step 6: Final answer
    x = 475.71

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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.