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Finding the Fourth Proportional to 618.78, 854.01 and 353.22

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Solution

The fourth proportional to 618.78, 854.01 and 353.22 is: 487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.78 : 854.01 = 353.22 : x
  2. Step 2: Convert to fraction form
    618.78/854.01 = 353.22/x
  3. Step 3: Cross multiply
    618.78x = 854.01 × 353.22
  4. Step 4: Simplify right side
    618.78x = 301,651.28
  5. Step 5: Solve for x
    x = 301,651.28/618.78
  6. Step 6: Final answer
    x = 487.50

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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.