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Finding the Fourth Proportional to 441.64, 661.98 and 390.42

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Solution

The fourth proportional to 441.64, 661.98 and 390.42 is: 585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.64 : 661.98 = 390.42 : x
  2. Step 2: Convert to fraction form
    441.64/661.98 = 390.42/x
  3. Step 3: Cross multiply
    441.64x = 661.98 × 390.42
  4. Step 4: Simplify right side
    441.64x = 258,450.23
  5. Step 5: Solve for x
    x = 258,450.23/441.64
  6. Step 6: Final answer
    x = 585.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.