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Finding the Fourth Proportional to 565.72, 780.77 and 344.67

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Solution

The fourth proportional to 565.72, 780.77 and 344.67 is: 475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.72 : 780.77 = 344.67 : x
  2. Step 2: Convert to fraction form
    565.72/780.77 = 344.67/x
  3. Step 3: Cross multiply
    565.72x = 780.77 × 344.67
  4. Step 4: Simplify right side
    565.72x = 269,104.64
  5. Step 5: Solve for x
    x = 269,104.64/565.72
  6. Step 6: Final answer
    x = 475.68

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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.