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Finding the Fourth Proportional to 440.88, 664.20 and 398.16

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Solution

The fourth proportional to 440.88, 664.20 and 398.16 is: 599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.88 : 664.20 = 398.16 : x
  2. Step 2: Convert to fraction form
    440.88/664.20 = 398.16/x
  3. Step 3: Cross multiply
    440.88x = 664.20 × 398.16
  4. Step 4: Simplify right side
    440.88x = 264,457.87
  5. Step 5: Solve for x
    x = 264,457.87/440.88
  6. Step 6: Final answer
    x = 599.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.