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Finding the Fourth Proportional to 619.14, 854.32 and 398.12

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Solution

The fourth proportional to 619.14, 854.32 and 398.12 is: 549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.14 : 854.32 = 398.12 : x
  2. Step 2: Convert to fraction form
    619.14/854.32 = 398.12/x
  3. Step 3: Cross multiply
    619.14x = 854.32 × 398.12
  4. Step 4: Simplify right side
    619.14x = 340,121.88
  5. Step 5: Solve for x
    x = 340,121.88/619.14
  6. Step 6: Final answer
    x = 549.35

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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.