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Finding the Fourth Proportional to 885.20, 1,328.44 and 446.84

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Solution

The fourth proportional to 885.20, 1,328.44 and 446.84 is: 670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.20 : 1,328.44 = 446.84 : x
  2. Step 2: Convert to fraction form
    885.20/1,328.44 = 446.84/x
  3. Step 3: Cross multiply
    885.20x = 1,328.44 × 446.84
  4. Step 4: Simplify right side
    885.20x = 593,600.13
  5. Step 5: Solve for x
    x = 593,600.13/885.20
  6. Step 6: Final answer
    x = 670.58

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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.