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Finding the Fourth Proportional to 668.25, 922.50 and 420.18

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Solution

The fourth proportional to 668.25, 922.50 and 420.18 is: 580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.25 : 922.50 = 420.18 : x
  2. Step 2: Convert to fraction form
    668.25/922.50 = 420.18/x
  3. Step 3: Cross multiply
    668.25x = 922.50 × 420.18
  4. Step 4: Simplify right side
    668.25x = 387,616.05
  5. Step 5: Solve for x
    x = 387,616.05/668.25
  6. Step 6: Final answer
    x = 580.05

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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.