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Finding the Fourth Proportional to 616.08, 924.24 and 226.14

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Solution

The fourth proportional to 616.08, 924.24 and 226.14 is: 339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.08 : 924.24 = 226.14 : x
  2. Step 2: Convert to fraction form
    616.08/924.24 = 226.14/x
  3. Step 3: Cross multiply
    616.08x = 924.24 × 226.14
  4. Step 4: Simplify right side
    616.08x = 209,007.63
  5. Step 5: Solve for x
    x = 209,007.63/616.08
  6. Step 6: Final answer
    x = 339.25

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