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Finding the Fourth Proportional to 618.24, 853.44 and 411.36

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Solution

The fourth proportional to 618.24, 853.44 and 411.36 is: 567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.24 : 853.44 = 411.36 : x
  2. Step 2: Convert to fraction form
    618.24/853.44 = 411.36/x
  3. Step 3: Cross multiply
    618.24x = 853.44 × 411.36
  4. Step 4: Simplify right side
    618.24x = 351,071.08
  5. Step 5: Solve for x
    x = 351,071.08/618.24
  6. Step 6: Final answer
    x = 567.86

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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.