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Finding the Fourth Proportional to 616.25, 923.86 and 251.30

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Solution

The fourth proportional to 616.25, 923.86 and 251.30 is: 376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.25 : 923.86 = 251.30 : x
  2. Step 2: Convert to fraction form
    616.25/923.86 = 251.30/x
  3. Step 3: Cross multiply
    616.25x = 923.86 × 251.30
  4. Step 4: Simplify right side
    616.25x = 232,165.39
  5. Step 5: Solve for x
    x = 232,165.39/616.25
  6. Step 6: Final answer
    x = 376.74

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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.