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Finding the Fourth Proportional to 668.68, 922.74 and 420.04

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Solution

The fourth proportional to 668.68, 922.74 and 420.04 is: 579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.68 : 922.74 = 420.04 : x
  2. Step 2: Convert to fraction form
    668.68/922.74 = 420.04/x
  3. Step 3: Cross multiply
    668.68x = 922.74 × 420.04
  4. Step 4: Simplify right side
    668.68x = 387,587.71
  5. Step 5: Solve for x
    x = 387,587.71/668.68
  6. Step 6: Final answer
    x = 579.63

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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.