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Finding the Fourth Proportional to 563.45, 844.97 and 216.77

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Solution

The fourth proportional to 563.45, 844.97 and 216.77 is: 325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.45 : 844.97 = 216.77 : x
  2. Step 2: Convert to fraction form
    563.45/844.97 = 216.77/x
  3. Step 3: Cross multiply
    563.45x = 844.97 × 216.77
  4. Step 4: Simplify right side
    563.45x = 183,158.84
  5. Step 5: Solve for x
    x = 183,158.84/563.45
  6. Step 6: Final answer
    x = 325.07

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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.