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Finding the Fourth Proportional to 619.58, 854.82 and 398.13

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Solution

The fourth proportional to 619.58, 854.82 and 398.13 is: 549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.58 : 854.82 = 398.13 : x
  2. Step 2: Convert to fraction form
    619.58/854.82 = 398.13/x
  3. Step 3: Cross multiply
    619.58x = 854.82 × 398.13
  4. Step 4: Simplify right side
    619.58x = 340,329.49
  5. Step 5: Solve for x
    x = 340,329.49/619.58
  6. Step 6: Final answer
    x = 549.30

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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.