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Finding the Fourth Proportional to 666.98, 920.33 and 387.23

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Solution

The fourth proportional to 666.98, 920.33 and 387.23 is: 534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.98 : 920.33 = 387.23 : x
  2. Step 2: Convert to fraction form
    666.98/920.33 = 387.23/x
  3. Step 3: Cross multiply
    666.98x = 920.33 × 387.23
  4. Step 4: Simplify right side
    666.98x = 356,382.65
  5. Step 5: Solve for x
    x = 356,382.65/666.98
  6. Step 6: Final answer
    x = 534.33

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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.