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Finding the Fourth Proportional to 619.82, 928.46 and 294.20

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Solution

The fourth proportional to 619.82, 928.46 and 294.20 is: 440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.82 : 928.46 = 294.20 : x
  2. Step 2: Convert to fraction form
    619.82/928.46 = 294.20/x
  3. Step 3: Cross multiply
    619.82x = 928.46 × 294.20
  4. Step 4: Simplify right side
    619.82x = 273,152.93
  5. Step 5: Solve for x
    x = 273,152.93/619.82
  6. Step 6: Final answer
    x = 440.70

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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.