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Finding the Fourth Proportional to 292.72, 441.28 and 272.90

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Solution

The fourth proportional to 292.72, 441.28 and 272.90 is: 411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.72 : 441.28 = 272.90 : x
  2. Step 2: Convert to fraction form
    292.72/441.28 = 272.90/x
  3. Step 3: Cross multiply
    292.72x = 441.28 × 272.90
  4. Step 4: Simplify right side
    292.72x = 120,425.22
  5. Step 5: Solve for x
    x = 120,425.22/292.72
  6. Step 6: Final answer
    x = 411.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.