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Finding the Fourth Proportional to 441.65, 610.08 and 344.68

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Solution

The fourth proportional to 441.65, 610.08 and 344.68 is: 476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.65 : 610.08 = 344.68 : x
  2. Step 2: Convert to fraction form
    441.65/610.08 = 344.68/x
  3. Step 3: Cross multiply
    441.65x = 610.08 × 344.68
  4. Step 4: Simplify right side
    441.65x = 210,282.37
  5. Step 5: Solve for x
    x = 210,282.37/441.65
  6. Step 6: Final answer
    x = 476.13

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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.