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Finding the Fourth Proportional to 478.50, 660.12 and 281.90

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Solution

The fourth proportional to 478.50, 660.12 and 281.90 is: 388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 660.12 = 281.90 : x
  2. Step 2: Convert to fraction form
    478.50/660.12 = 281.90/x
  3. Step 3: Cross multiply
    478.50x = 660.12 × 281.90
  4. Step 4: Simplify right side
    478.50x = 186,084.53
  5. Step 5: Solve for x
    x = 186,084.53/478.50
  6. Step 6: Final answer
    x = 388.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.