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Finding the Fourth Proportional to 470.36, 649.72 and 361.19

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Solution

The fourth proportional to 470.36, 649.72 and 361.19 is: 498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.36 : 649.72 = 361.19 : x
  2. Step 2: Convert to fraction form
    470.36/649.72 = 361.19/x
  3. Step 3: Cross multiply
    470.36x = 649.72 × 361.19
  4. Step 4: Simplify right side
    470.36x = 234,668.22
  5. Step 5: Solve for x
    x = 234,668.22/470.36
  6. Step 6: Final answer
    x = 498.91

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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.