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Finding the Fourth Proportional to 666.49, 920.18 and 430.55

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Solution

The fourth proportional to 666.49, 920.18 and 430.55 is: 594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.49 : 920.18 = 430.55 : x
  2. Step 2: Convert to fraction form
    666.49/920.18 = 430.55/x
  3. Step 3: Cross multiply
    666.49x = 920.18 × 430.55
  4. Step 4: Simplify right side
    666.49x = 396,183.50
  5. Step 5: Solve for x
    x = 396,183.50/666.49
  6. Step 6: Final answer
    x = 594.43

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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.