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Finding the Fourth Proportional to 565.09, 849.24 and 334.09

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Solution

The fourth proportional to 565.09, 849.24 and 334.09 is: 502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.09 : 849.24 = 334.09 : x
  2. Step 2: Convert to fraction form
    565.09/849.24 = 334.09/x
  3. Step 3: Cross multiply
    565.09x = 849.24 × 334.09
  4. Step 4: Simplify right side
    565.09x = 283,722.59
  5. Step 5: Solve for x
    x = 283,722.59/565.09
  6. Step 6: Final answer
    x = 502.08

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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.