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Finding the Fourth Proportional to 879.27, 1,318.58 and 416.67

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Solution

The fourth proportional to 879.27, 1,318.58 and 416.67 is: 624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.27 : 1,318.58 = 416.67 : x
  2. Step 2: Convert to fraction form
    879.27/1,318.58 = 416.67/x
  3. Step 3: Cross multiply
    879.27x = 1,318.58 × 416.67
  4. Step 4: Simplify right side
    879.27x = 549,412.73
  5. Step 5: Solve for x
    x = 549,412.73/879.27
  6. Step 6: Final answer
    x = 624.85

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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.