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Finding the Fourth Proportional to 619.31, 854.44 and 409.57

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Solution

The fourth proportional to 619.31, 854.44 and 409.57 is: 565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.31 : 854.44 = 409.57 : x
  2. Step 2: Convert to fraction form
    619.31/854.44 = 409.57/x
  3. Step 3: Cross multiply
    619.31x = 854.44 × 409.57
  4. Step 4: Simplify right side
    619.31x = 349,949.83
  5. Step 5: Solve for x
    x = 349,949.83/619.31
  6. Step 6: Final answer
    x = 565.06

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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.