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Finding the Fourth Proportional to 565.86, 780.71 and 344.73

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Solution

The fourth proportional to 565.86, 780.71 and 344.73 is: 475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.86 : 780.71 = 344.73 : x
  2. Step 2: Convert to fraction form
    565.86/780.71 = 344.73/x
  3. Step 3: Cross multiply
    565.86x = 780.71 × 344.73
  4. Step 4: Simplify right side
    565.86x = 269,135.36
  5. Step 5: Solve for x
    x = 269,135.36/565.86
  6. Step 6: Final answer
    x = 475.62

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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.