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Finding the Fourth Proportional to 566.22, 847.56 and 361.02

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Solution

The fourth proportional to 566.22, 847.56 and 361.02 is: 540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.22 : 847.56 = 361.02 : x
  2. Step 2: Convert to fraction form
    566.22/847.56 = 361.02/x
  3. Step 3: Cross multiply
    566.22x = 847.56 × 361.02
  4. Step 4: Simplify right side
    566.22x = 305,986.11
  5. Step 5: Solve for x
    x = 305,986.11/566.22
  6. Step 6: Final answer
    x = 540.40

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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.