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Finding the Fourth Proportional to 309.08, 462.93 and 262.91

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Solution

The fourth proportional to 309.08, 462.93 and 262.91 is: 393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.08 : 462.93 = 262.91 : x
  2. Step 2: Convert to fraction form
    309.08/462.93 = 262.91/x
  3. Step 3: Cross multiply
    309.08x = 462.93 × 262.91
  4. Step 4: Simplify right side
    309.08x = 121,708.93
  5. Step 5: Solve for x
    x = 121,708.93/309.08
  6. Step 6: Final answer
    x = 393.78

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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.