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Finding the Fourth Proportional to 386.12, 532.86 and 297.69

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Solution

The fourth proportional to 386.12, 532.86 and 297.69 is: 410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.12 : 532.86 = 297.69 : x
  2. Step 2: Convert to fraction form
    386.12/532.86 = 297.69/x
  3. Step 3: Cross multiply
    386.12x = 532.86 × 297.69
  4. Step 4: Simplify right side
    386.12x = 158,627.09
  5. Step 5: Solve for x
    x = 158,627.09/386.12
  6. Step 6: Final answer
    x = 410.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.