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Finding the Fourth Proportional to 565.45, 846.82 and 333.79

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Solution

The fourth proportional to 565.45, 846.82 and 333.79 is: 499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.45 : 846.82 = 333.79 : x
  2. Step 2: Convert to fraction form
    565.45/846.82 = 333.79/x
  3. Step 3: Cross multiply
    565.45x = 846.82 × 333.79
  4. Step 4: Simplify right side
    565.45x = 282,660.05
  5. Step 5: Solve for x
    x = 282,660.05/565.45
  6. Step 6: Final answer
    x = 499.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.