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Finding the Fourth Proportional to 393.17, 588.38 and 332.13

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Solution

The fourth proportional to 393.17, 588.38 and 332.13 is: 497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.17 : 588.38 = 332.13 : x
  2. Step 2: Convert to fraction form
    393.17/588.38 = 332.13/x
  3. Step 3: Cross multiply
    393.17x = 588.38 × 332.13
  4. Step 4: Simplify right side
    393.17x = 195,418.01
  5. Step 5: Solve for x
    x = 195,418.01/393.17
  6. Step 6: Final answer
    x = 497.03

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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.