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Finding the Fourth Proportional to 587.96, 881.16 and 382.42

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Solution

The fourth proportional to 587.96, 881.16 and 382.42 is: 573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.96 : 881.16 = 382.42 : x
  2. Step 2: Convert to fraction form
    587.96/881.16 = 382.42/x
  3. Step 3: Cross multiply
    587.96x = 881.16 × 382.42
  4. Step 4: Simplify right side
    587.96x = 336,973.21
  5. Step 5: Solve for x
    x = 336,973.21/587.96
  6. Step 6: Final answer
    x = 573.12

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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.