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Finding the Fourth Proportional to 619.20, 853.86 and 488.16

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Solution

The fourth proportional to 619.20, 853.86 and 488.16 is: 673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.20 : 853.86 = 488.16 : x
  2. Step 2: Convert to fraction form
    619.20/853.86 = 488.16/x
  3. Step 3: Cross multiply
    619.20x = 853.86 × 488.16
  4. Step 4: Simplify right side
    619.20x = 416,820.30
  5. Step 5: Solve for x
    x = 416,820.30/619.20
  6. Step 6: Final answer
    x = 673.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.