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Finding the Fourth Proportional to 668.36, 922.60 and 598.30

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Solution

The fourth proportional to 668.36, 922.60 and 598.30 is: 825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.36 : 922.60 = 598.30 : x
  2. Step 2: Convert to fraction form
    668.36/922.60 = 598.30/x
  3. Step 3: Cross multiply
    668.36x = 922.60 × 598.30
  4. Step 4: Simplify right side
    668.36x = 551,989.64
  5. Step 5: Solve for x
    x = 551,989.64/668.36
  6. Step 6: Final answer
    x = 825.88

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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.