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Finding the Fourth Proportional to 441.93, 610.15 and 284.63

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Solution

The fourth proportional to 441.93, 610.15 and 284.63 is: 392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.93 : 610.15 = 284.63 : x
  2. Step 2: Convert to fraction form
    441.93/610.15 = 284.63/x
  3. Step 3: Cross multiply
    441.93x = 610.15 × 284.63
  4. Step 4: Simplify right side
    441.93x = 173,663.23
  5. Step 5: Solve for x
    x = 173,663.23/441.93
  6. Step 6: Final answer
    x = 392.97

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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.