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Finding the Fourth Proportional to 928.88, 1,394.04 and 416.24

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Solution

The fourth proportional to 928.88, 1,394.04 and 416.24 is: 624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.88 : 1,394.04 = 416.24 : x
  2. Step 2: Convert to fraction form
    928.88/1,394.04 = 416.24/x
  3. Step 3: Cross multiply
    928.88x = 1,394.04 × 416.24
  4. Step 4: Simplify right side
    928.88x = 580,255.21
  5. Step 5: Solve for x
    x = 580,255.21/928.88
  6. Step 6: Final answer
    x = 624.68

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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.