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Finding the Fourth Proportional to 616.18, 922.24 and 338.10

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Solution

The fourth proportional to 616.18, 922.24 and 338.10 is: 506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.18 : 922.24 = 338.10 : x
  2. Step 2: Convert to fraction form
    616.18/922.24 = 338.10/x
  3. Step 3: Cross multiply
    616.18x = 922.24 × 338.10
  4. Step 4: Simplify right side
    616.18x = 311,809.34
  5. Step 5: Solve for x
    x = 311,809.34/616.18
  6. Step 6: Final answer
    x = 506.04

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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.