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Finding the Fourth Proportional to 393.67, 592.81 and 291.68

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Solution

The fourth proportional to 393.67, 592.81 and 291.68 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.67 : 592.81 = 291.68 : x
  2. Step 2: Convert to fraction form
    393.67/592.81 = 291.68/x
  3. Step 3: Cross multiply
    393.67x = 592.81 × 291.68
  4. Step 4: Simplify right side
    393.67x = 172,910.82
  5. Step 5: Solve for x
    x = 172,910.82/393.67
  6. Step 6: Final answer
    x = 439.23

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