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Finding the Fourth Proportional to 565.59, 780.76 and 344.61

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Solution

The fourth proportional to 565.59, 780.76 and 344.61 is: 475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.59 : 780.76 = 344.61 : x
  2. Step 2: Convert to fraction form
    565.59/780.76 = 344.61/x
  3. Step 3: Cross multiply
    565.59x = 780.76 × 344.61
  4. Step 4: Simplify right side
    565.59x = 269,057.70
  5. Step 5: Solve for x
    x = 269,057.70/565.59
  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.