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Finding the Fourth Proportional to 587.21, 881.67 and 327.71

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Solution

The fourth proportional to 587.21, 881.67 and 327.71 is: 492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.21 : 881.67 = 327.71 : x
  2. Step 2: Convert to fraction form
    587.21/881.67 = 327.71/x
  3. Step 3: Cross multiply
    587.21x = 881.67 × 327.71
  4. Step 4: Simplify right side
    587.21x = 288,934.28
  5. Step 5: Solve for x
    x = 288,934.28/587.21
  6. Step 6: Final answer
    x = 492.05

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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.