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Finding the Fourth Proportional to 393.76, 592.08 and 272.80

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Solution

The fourth proportional to 393.76, 592.08 and 272.80 is: 410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.76 : 592.08 = 272.80 : x
  2. Step 2: Convert to fraction form
    393.76/592.08 = 272.80/x
  3. Step 3: Cross multiply
    393.76x = 592.08 × 272.80
  4. Step 4: Simplify right side
    393.76x = 161,519.42
  5. Step 5: Solve for x
    x = 161,519.42/393.76
  6. Step 6: Final answer
    x = 410.20

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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.