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Finding the Fourth Proportional to 619.20, 854.85 and 409.31

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Solution

The fourth proportional to 619.20, 854.85 and 409.31 is: 565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.20 : 854.85 = 409.31 : x
  2. Step 2: Convert to fraction form
    619.20/854.85 = 409.31/x
  3. Step 3: Cross multiply
    619.20x = 854.85 × 409.31
  4. Step 4: Simplify right side
    619.20x = 349,896.82
  5. Step 5: Solve for x
    x = 349,896.82/619.20
  6. Step 6: Final answer
    x = 565.08

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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.