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Finding the Fourth Proportional to 618.88, 854.19 and 409.09

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Solution

The fourth proportional to 618.88, 854.19 and 409.09 is: 564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.88 : 854.19 = 409.09 : x
  2. Step 2: Convert to fraction form
    618.88/854.19 = 409.09/x
  3. Step 3: Cross multiply
    618.88x = 854.19 × 409.09
  4. Step 4: Simplify right side
    618.88x = 349,440.59
  5. Step 5: Solve for x
    x = 349,440.59/618.88
  6. Step 6: Final answer
    x = 564.63

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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.