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Finding the Fourth Proportional to 565.93, 849.87 and 336.26

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Solution

The fourth proportional to 565.93, 849.87 and 336.26 is: 504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.93 : 849.87 = 336.26 : x
  2. Step 2: Convert to fraction form
    565.93/849.87 = 336.26/x
  3. Step 3: Cross multiply
    565.93x = 849.87 × 336.26
  4. Step 4: Simplify right side
    565.93x = 285,777.29
  5. Step 5: Solve for x
    x = 285,777.29/565.93
  6. Step 6: Final answer
    x = 504.97

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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.