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Finding the Fourth Proportional to 619.50, 854.52 and 409.62

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Solution

The fourth proportional to 619.50, 854.52 and 409.62 is: 565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.50 : 854.52 = 409.62 : x
  2. Step 2: Convert to fraction form
    619.50/854.52 = 409.62/x
  3. Step 3: Cross multiply
    619.50x = 854.52 × 409.62
  4. Step 4: Simplify right side
    619.50x = 350,028.48
  5. Step 5: Solve for x
    x = 350,028.48/619.50
  6. Step 6: Final answer
    x = 565.02

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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.