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Finding the Fourth Proportional to 563.90, 845.24 and 368.28

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Solution

The fourth proportional to 563.90, 845.24 and 368.28 is: 552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.90 : 845.24 = 368.28 : x
  2. Step 2: Convert to fraction form
    563.90/845.24 = 368.28/x
  3. Step 3: Cross multiply
    563.90x = 845.24 × 368.28
  4. Step 4: Simplify right side
    563.90x = 311,283.15
  5. Step 5: Solve for x
    x = 311,283.15/563.90
  6. Step 6: Final answer
    x = 552.02

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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.