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Finding the Fourth Proportional to 565.68, 780.26 and 366.42

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Solution

The fourth proportional to 565.68, 780.26 and 366.42 is: 505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.68 : 780.26 = 366.42 : x
  2. Step 2: Convert to fraction form
    565.68/780.26 = 366.42/x
  3. Step 3: Cross multiply
    565.68x = 780.26 × 366.42
  4. Step 4: Simplify right side
    565.68x = 285,902.87
  5. Step 5: Solve for x
    x = 285,902.87/565.68
  6. Step 6: Final answer
    x = 505.41

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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.