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Finding the Fourth Proportional to 470.93, 650.22 and 361.13

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Solution

The fourth proportional to 470.93, 650.22 and 361.13 is: 498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.93 : 650.22 = 361.13 : x
  2. Step 2: Convert to fraction form
    470.93/650.22 = 361.13/x
  3. Step 3: Cross multiply
    470.93x = 650.22 × 361.13
  4. Step 4: Simplify right side
    470.93x = 234,810.70
  5. Step 5: Solve for x
    x = 234,810.70/470.93
  6. Step 6: Final answer
    x = 498.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.