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Finding the Fourth Proportional to 565.91, 849.05 and 219.29

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Solution

The fourth proportional to 565.91, 849.05 and 219.29 is: 329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.91 : 849.05 = 219.29 : x
  2. Step 2: Convert to fraction form
    565.91/849.05 = 219.29/x
  3. Step 3: Cross multiply
    565.91x = 849.05 × 219.29
  4. Step 4: Simplify right side
    565.91x = 186,182.83
  5. Step 5: Solve for x
    x = 186,182.83/565.91
  6. Step 6: Final answer
    x = 329.00

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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.