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Finding the Fourth Proportional to 386.90, 578.92 and 232.92

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Solution

The fourth proportional to 386.90, 578.92 and 232.92 is: 348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.90 : 578.92 = 232.92 : x
  2. Step 2: Convert to fraction form
    386.90/578.92 = 232.92/x
  3. Step 3: Cross multiply
    386.90x = 578.92 × 232.92
  4. Step 4: Simplify right side
    386.90x = 134,842.05
  5. Step 5: Solve for x
    x = 134,842.05/386.90
  6. Step 6: Final answer
    x = 348.52

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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.