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Finding the Fourth Proportional to 563.64, 844.92 and 255.66

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Solution

The fourth proportional to 563.64, 844.92 and 255.66 is: 383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.64 : 844.92 = 255.66 : x
  2. Step 2: Convert to fraction form
    563.64/844.92 = 255.66/x
  3. Step 3: Cross multiply
    563.64x = 844.92 × 255.66
  4. Step 4: Simplify right side
    563.64x = 216,012.25
  5. Step 5: Solve for x
    x = 216,012.25/563.64
  6. Step 6: Final answer
    x = 383.25

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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.