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Finding the Fourth Proportional to 619.09, 854.38 and 353.54

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Solution

The fourth proportional to 619.09, 854.38 and 353.54 is: 487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.09 : 854.38 = 353.54 : x
  2. Step 2: Convert to fraction form
    619.09/854.38 = 353.54/x
  3. Step 3: Cross multiply
    619.09x = 854.38 × 353.54
  4. Step 4: Simplify right side
    619.09x = 302,060.08
  5. Step 5: Solve for x
    x = 302,060.08/619.09
  6. Step 6: Final answer
    x = 487.91

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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.