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Finding the Fourth Proportional to 441.16, 608.22 and 283.51

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Solution

The fourth proportional to 441.16, 608.22 and 283.51 is: 390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.16 : 608.22 = 283.51 : x
  2. Step 2: Convert to fraction form
    441.16/608.22 = 283.51/x
  3. Step 3: Cross multiply
    441.16x = 608.22 × 283.51
  4. Step 4: Simplify right side
    441.16x = 172,433.41
  5. Step 5: Solve for x
    x = 172,433.41/441.16
  6. Step 6: Final answer
    x = 390.87

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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.