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Finding the Fourth Proportional to 619.10, 854.12 and 409.66

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Solution

The fourth proportional to 619.10, 854.12 and 409.66 is: 565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.10 : 854.12 = 409.66 : x
  2. Step 2: Convert to fraction form
    619.10/854.12 = 409.66/x
  3. Step 3: Cross multiply
    619.10x = 854.12 × 409.66
  4. Step 4: Simplify right side
    619.10x = 349,898.80
  5. Step 5: Solve for x
    x = 349,898.80/619.10
  6. Step 6: Final answer
    x = 565.17

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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.