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Finding the Fourth Proportional to 441.32, 661.26 and 258.86

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Solution

The fourth proportional to 441.32, 661.26 and 258.86 is: 387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.32 : 661.26 = 258.86 : x
  2. Step 2: Convert to fraction form
    441.32/661.26 = 258.86/x
  3. Step 3: Cross multiply
    441.32x = 661.26 × 258.86
  4. Step 4: Simplify right side
    441.32x = 171,173.76
  5. Step 5: Solve for x
    x = 171,173.76/441.32
  6. Step 6: Final answer
    x = 387.87

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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.