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Finding the Fourth Proportional to 927.67, 1,391.40 and 278.25

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Solution

The fourth proportional to 927.67, 1,391.40 and 278.25 is: 417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.67 : 1,391.40 = 278.25 : x
  2. Step 2: Convert to fraction form
    927.67/1,391.40 = 278.25/x
  3. Step 3: Cross multiply
    927.67x = 1,391.40 × 278.25
  4. Step 4: Simplify right side
    927.67x = 387,157.05
  5. Step 5: Solve for x
    x = 387,157.05/927.67
  6. Step 6: Final answer
    x = 417.34

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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.