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Finding the Fourth Proportional to 618.97, 854.30 and 409.16

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Solution

The fourth proportional to 618.97, 854.30 and 409.16 is: 564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.97 : 854.30 = 409.16 : x
  2. Step 2: Convert to fraction form
    618.97/854.30 = 409.16/x
  3. Step 3: Cross multiply
    618.97x = 854.30 × 409.16
  4. Step 4: Simplify right side
    618.97x = 349,546.41
  5. Step 5: Solve for x
    x = 349,546.41/618.97
  6. Step 6: Final answer
    x = 564.72

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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.