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Finding the Fourth Proportional to 618.72, 852.48 and 411.36

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Solution

The fourth proportional to 618.72, 852.48 and 411.36 is: 566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.72 : 852.48 = 411.36 : x
  2. Step 2: Convert to fraction form
    618.72/852.48 = 411.36/x
  3. Step 3: Cross multiply
    618.72x = 852.48 × 411.36
  4. Step 4: Simplify right side
    618.72x = 350,676.17
  5. Step 5: Solve for x
    x = 350,676.17/618.72
  6. Step 6: Final answer
    x = 566.78

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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.