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Finding the Fourth Proportional to 858.74, 1,288.12 and 273.76

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Solution

The fourth proportional to 858.74, 1,288.12 and 273.76 is: 410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.74 : 1,288.12 = 273.76 : x
  2. Step 2: Convert to fraction form
    858.74/1,288.12 = 273.76/x
  3. Step 3: Cross multiply
    858.74x = 1,288.12 × 273.76
  4. Step 4: Simplify right side
    858.74x = 352,631.83
  5. Step 5: Solve for x
    x = 352,631.83/858.74
  6. Step 6: Final answer
    x = 410.64

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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.