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Finding the Fourth Proportional to 858.20, 1,287.48 and 281.08

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Solution

The fourth proportional to 858.20, 1,287.48 and 281.08 is: 421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.20 : 1,287.48 = 281.08 : x
  2. Step 2: Convert to fraction form
    858.20/1,287.48 = 281.08/x
  3. Step 3: Cross multiply
    858.20x = 1,287.48 × 281.08
  4. Step 4: Simplify right side
    858.20x = 361,884.88
  5. Step 5: Solve for x
    x = 361,884.88/858.20
  6. Step 6: Final answer
    x = 421.68

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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.