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Finding the Fourth Proportional to 619.03, 928.14 and 294.76

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Solution

The fourth proportional to 619.03, 928.14 and 294.76 is: 441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.03 : 928.14 = 294.76 : x
  2. Step 2: Convert to fraction form
    619.03/928.14 = 294.76/x
  3. Step 3: Cross multiply
    619.03x = 928.14 × 294.76
  4. Step 4: Simplify right side
    619.03x = 273,578.55
  5. Step 5: Solve for x
    x = 273,578.55/619.03
  6. Step 6: Final answer
    x = 441.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.