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Finding the Fourth Proportional to 393.10, 588.44 and 277

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Solution

The fourth proportional to 393.10, 588.44 and 277 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.10 : 588.44 = 277 : x
  2. Step 2: Convert to fraction form
    393.10/588.44 = 277/x
  3. Step 3: Cross multiply
    393.10x = 588.44 × 277
  4. Step 4: Simplify right side
    393.10x = 162,997.88
  5. Step 5: Solve for x
    x = 162,997.88/393.10
  6. Step 6: Final answer
    x = 414.65

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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.