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Finding the Fourth Proportional to 563.84, 845.74 and 255.62

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Solution

The fourth proportional to 563.84, 845.74 and 255.62 is: 383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.84 : 845.74 = 255.62 : x
  2. Step 2: Convert to fraction form
    563.84/845.74 = 255.62/x
  3. Step 3: Cross multiply
    563.84x = 845.74 × 255.62
  4. Step 4: Simplify right side
    563.84x = 216,188.06
  5. Step 5: Solve for x
    x = 216,188.06/563.84
  6. Step 6: Final answer
    x = 383.42

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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.