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Finding the Fourth Proportional to 619.30, 928.71 and 254.02

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Solution

The fourth proportional to 619.30, 928.71 and 254.02 is: 380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.30 : 928.71 = 254.02 : x
  2. Step 2: Convert to fraction form
    619.30/928.71 = 254.02/x
  3. Step 3: Cross multiply
    619.30x = 928.71 × 254.02
  4. Step 4: Simplify right side
    619.30x = 235,910.91
  5. Step 5: Solve for x
    x = 235,910.91/619.30
  6. Step 6: Final answer
    x = 380.93

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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.