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Finding the Fourth Proportional to 619.02, 853.56 and 461.75

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Solution

The fourth proportional to 619.02, 853.56 and 461.75 is: 636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.02 : 853.56 = 461.75 : x
  2. Step 2: Convert to fraction form
    619.02/853.56 = 461.75/x
  3. Step 3: Cross multiply
    619.02x = 853.56 × 461.75
  4. Step 4: Simplify right side
    619.02x = 394,127.06
  5. Step 5: Solve for x
    x = 394,127.06/619.02
  6. Step 6: Final answer
    x = 636.70

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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.