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Finding the Fourth Proportional to 563.84, 845.82 and 217.09

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Solution

The fourth proportional to 563.84, 845.82 and 217.09 is: 325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.84 : 845.82 = 217.09 : x
  2. Step 2: Convert to fraction form
    563.84/845.82 = 217.09/x
  3. Step 3: Cross multiply
    563.84x = 845.82 × 217.09
  4. Step 4: Simplify right side
    563.84x = 183,616.95
  5. Step 5: Solve for x
    x = 183,616.95/563.84
  6. Step 6: Final answer
    x = 325.66

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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.