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Finding the Fourth Proportional to 616.40, 924 and 226.29

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Solution

The fourth proportional to 616.40, 924 and 226.29 is: 339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.40 : 924 = 226.29 : x
  2. Step 2: Convert to fraction form
    616.40/924 = 226.29/x
  3. Step 3: Cross multiply
    616.40x = 924 × 226.29
  4. Step 4: Simplify right side
    616.40x = 209,091.96
  5. Step 5: Solve for x
    x = 209,091.96/616.40
  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.