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Finding the Fourth Proportional to 616.94, 925.40 and 200.53

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Solution

The fourth proportional to 616.94, 925.40 and 200.53 is: 300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.94 : 925.40 = 200.53 : x
  2. Step 2: Convert to fraction form
    616.94/925.40 = 200.53/x
  3. Step 3: Cross multiply
    616.94x = 925.40 × 200.53
  4. Step 4: Simplify right side
    616.94x = 185,568.65
  5. Step 5: Solve for x
    x = 185,568.65/616.94
  6. Step 6: Final answer
    x = 300.79

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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.