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Finding the Fourth Proportional to 668.10, 922.28 and 491.07

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Solution

The fourth proportional to 668.10, 922.28 and 491.07 is: 677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.10 : 922.28 = 491.07 : x
  2. Step 2: Convert to fraction form
    668.10/922.28 = 491.07/x
  3. Step 3: Cross multiply
    668.10x = 922.28 × 491.07
  4. Step 4: Simplify right side
    668.10x = 452,904.04
  5. Step 5: Solve for x
    x = 452,904.04/668.10
  6. Step 6: Final answer
    x = 677.90

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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.