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Finding the Fourth Proportional to 292.62, 402.93 and 277.56

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Solution

The fourth proportional to 292.62, 402.93 and 277.56 is: 382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.62 : 402.93 = 277.56 : x
  2. Step 2: Convert to fraction form
    292.62/402.93 = 277.56/x
  3. Step 3: Cross multiply
    292.62x = 402.93 × 277.56
  4. Step 4: Simplify right side
    292.62x = 111,837.25
  5. Step 5: Solve for x
    x = 111,837.25/292.62
  6. Step 6: Final answer
    x = 382.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.