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Finding the Fourth Proportional to 288.08, 397.12 and 277.28

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Solution

The fourth proportional to 288.08, 397.12 and 277.28 is: 382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.08 : 397.12 = 277.28 : x
  2. Step 2: Convert to fraction form
    288.08/397.12 = 277.28/x
  3. Step 3: Cross multiply
    288.08x = 397.12 × 277.28
  4. Step 4: Simplify right side
    288.08x = 110,113.43
  5. Step 5: Solve for x
    x = 110,113.43/288.08
  6. Step 6: Final answer
    x = 382.23

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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.