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Finding the Fourth Proportional to 563.68, 845.60 and 255.53

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Solution

The fourth proportional to 563.68, 845.60 and 255.53 is: 383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 845.60 = 255.53 : x
  2. Step 2: Convert to fraction form
    563.68/845.60 = 255.53/x
  3. Step 3: Cross multiply
    563.68x = 845.60 × 255.53
  4. Step 4: Simplify right side
    563.68x = 216,076.17
  5. Step 5: Solve for x
    x = 216,076.17/563.68
  6. Step 6: Final answer
    x = 383.33

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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.