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Finding the Fourth Proportional to 616.94, 925.64 and 252.03

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Solution

The fourth proportional to 616.94, 925.64 and 252.03 is: 378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.94 : 925.64 = 252.03 : x
  2. Step 2: Convert to fraction form
    616.94/925.64 = 252.03/x
  3. Step 3: Cross multiply
    616.94x = 925.64 × 252.03
  4. Step 4: Simplify right side
    616.94x = 233,289.05
  5. Step 5: Solve for x
    x = 233,289.05/616.94
  6. Step 6: Final answer
    x = 378.14

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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.