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Finding the Fourth Proportional to 393.13, 589.70 and 104.57

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Solution

The fourth proportional to 393.13, 589.70 and 104.57 is: 156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.13 : 589.70 = 104.57 : x
  2. Step 2: Convert to fraction form
    393.13/589.70 = 104.57/x
  3. Step 3: Cross multiply
    393.13x = 589.70 × 104.57
  4. Step 4: Simplify right side
    393.13x = 61,664.93
  5. Step 5: Solve for x
    x = 61,664.93/393.13
  6. Step 6: Final answer
    x = 156.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.