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Finding the Fourth Proportional to 285.28, 427.35 and 220.05

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Solution

The fourth proportional to 285.28, 427.35 and 220.05 is: 329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.28 : 427.35 = 220.05 : x
  2. Step 2: Convert to fraction form
    285.28/427.35 = 220.05/x
  3. Step 3: Cross multiply
    285.28x = 427.35 × 220.05
  4. Step 4: Simplify right side
    285.28x = 94,039.19
  5. Step 5: Solve for x
    x = 94,039.19/285.28
  6. Step 6: Final answer
    x = 329.64

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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.