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Finding the Fourth Proportional to 616.28, 924.54 and 205.46

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Solution

The fourth proportional to 616.28, 924.54 and 205.46 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.28 : 924.54 = 205.46 : x
  2. Step 2: Convert to fraction form
    616.28/924.54 = 205.46/x
  3. Step 3: Cross multiply
    616.28x = 924.54 × 205.46
  4. Step 4: Simplify right side
    616.28x = 189,955.99
  5. Step 5: Solve for x
    x = 189,955.99/616.28
  6. Step 6: Final answer
    x = 308.23

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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.