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Finding the Fourth Proportional to 619.32, 854.01 and 442.38

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Solution

The fourth proportional to 619.32, 854.01 and 442.38 is: 610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.32 : 854.01 = 442.38 : x
  2. Step 2: Convert to fraction form
    619.32/854.01 = 442.38/x
  3. Step 3: Cross multiply
    619.32x = 854.01 × 442.38
  4. Step 4: Simplify right side
    619.32x = 377,796.94
  5. Step 5: Solve for x
    x = 377,796.94/619.32
  6. Step 6: Final answer
    x = 610.02

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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.