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Finding the Fourth Proportional to 616.36, 924.00 and 226.27

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Solution

The fourth proportional to 616.36, 924.00 and 226.27 is: 339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.36 : 924.00 = 226.27 : x
  2. Step 2: Convert to fraction form
    616.36/924.00 = 226.27/x
  3. Step 3: Cross multiply
    616.36x = 924.00 × 226.27
  4. Step 4: Simplify right side
    616.36x = 209,074.66
  5. Step 5: Solve for x
    x = 209,074.66/616.36
  6. Step 6: Final answer
    x = 339.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.