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Finding the Fourth Proportional to 563.89, 844.86 and 378.44

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Solution

The fourth proportional to 563.89, 844.86 and 378.44 is: 567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.89 : 844.86 = 378.44 : x
  2. Step 2: Convert to fraction form
    563.89/844.86 = 378.44/x
  3. Step 3: Cross multiply
    563.89x = 844.86 × 378.44
  4. Step 4: Simplify right side
    563.89x = 319,728.82
  5. Step 5: Solve for x
    x = 319,728.82/563.89
  6. Step 6: Final answer
    x = 567.01

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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.