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Finding the Fourth Proportional to 885.53, 1,327.80 and 423.42

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Solution

The fourth proportional to 885.53, 1,327.80 and 423.42 is: 634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.53 : 1,327.80 = 423.42 : x
  2. Step 2: Convert to fraction form
    885.53/1,327.80 = 423.42/x
  3. Step 3: Cross multiply
    885.53x = 1,327.80 × 423.42
  4. Step 4: Simplify right side
    885.53x = 562,217.08
  5. Step 5: Solve for x
    x = 562,217.08/885.53
  6. Step 6: Final answer
    x = 634.90

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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.