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Finding the Fourth Proportional to 469.69, 648.17 and 262.69

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Solution

The fourth proportional to 469.69, 648.17 and 262.69 is: 362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.69 : 648.17 = 262.69 : x
  2. Step 2: Convert to fraction form
    469.69/648.17 = 262.69/x
  3. Step 3: Cross multiply
    469.69x = 648.17 × 262.69
  4. Step 4: Simplify right side
    469.69x = 170,265.83
  5. Step 5: Solve for x
    x = 170,265.83/469.69
  6. Step 6: Final answer
    x = 362.51

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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.