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Finding the Fourth Proportional to 619.24, 854.67 and 398.47

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Solution

The fourth proportional to 619.24, 854.67 and 398.47 is: 549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.24 : 854.67 = 398.47 : x
  2. Step 2: Convert to fraction form
    619.24/854.67 = 398.47/x
  3. Step 3: Cross multiply
    619.24x = 854.67 × 398.47
  4. Step 4: Simplify right side
    619.24x = 340,560.35
  5. Step 5: Solve for x
    x = 340,560.35/619.24
  6. Step 6: Final answer
    x = 549.97

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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.