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Finding the Fourth Proportional to 668.71, 922.81 and 365.88

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Solution

The fourth proportional to 668.71, 922.81 and 365.88 is: 504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.71 : 922.81 = 365.88 : x
  2. Step 2: Convert to fraction form
    668.71/922.81 = 365.88/x
  3. Step 3: Cross multiply
    668.71x = 922.81 × 365.88
  4. Step 4: Simplify right side
    668.71x = 337,637.72
  5. Step 5: Solve for x
    x = 337,637.72/668.71
  6. Step 6: Final answer
    x = 504.91

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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.