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Finding the Fourth Proportional to 619.96, 855.30 and 409.88

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Solution

The fourth proportional to 619.96, 855.30 and 409.88 is: 565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.96 : 855.30 = 409.88 : x
  2. Step 2: Convert to fraction form
    619.96/855.30 = 409.88/x
  3. Step 3: Cross multiply
    619.96x = 855.30 × 409.88
  4. Step 4: Simplify right side
    619.96x = 350,570.36
  5. Step 5: Solve for x
    x = 350,570.36/619.96
  6. Step 6: Final answer
    x = 565.47

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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.