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Finding the Fourth Proportional to 619.15, 854.32 and 398.06

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Solution

The fourth proportional to 619.15, 854.32 and 398.06 is: 549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.15 : 854.32 = 398.06 : x
  2. Step 2: Convert to fraction form
    619.15/854.32 = 398.06/x
  3. Step 3: Cross multiply
    619.15x = 854.32 × 398.06
  4. Step 4: Simplify right side
    619.15x = 340,064.36
  5. Step 5: Solve for x
    x = 340,064.36/619.15
  6. Step 6: Final answer
    x = 549.25

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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.