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Finding the Fourth Proportional to 563.44, 844.95 and 193.17

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Solution

The fourth proportional to 563.44, 844.95 and 193.17 is: 289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.44 : 844.95 = 193.17 : x
  2. Step 2: Convert to fraction form
    563.44/844.95 = 193.17/x
  3. Step 3: Cross multiply
    563.44x = 844.95 × 193.17
  4. Step 4: Simplify right side
    563.44x = 163,218.99
  5. Step 5: Solve for x
    x = 163,218.99/563.44
  6. Step 6: Final answer
    x = 289.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.