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Finding the Fourth Proportional to 469.89, 648.45 and 262.89

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Solution

The fourth proportional to 469.89, 648.45 and 262.89 is: 362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.89 : 648.45 = 262.89 : x
  2. Step 2: Convert to fraction form
    469.89/648.45 = 262.89/x
  3. Step 3: Cross multiply
    469.89x = 648.45 × 262.89
  4. Step 4: Simplify right side
    469.89x = 170,471.02
  5. Step 5: Solve for x
    x = 170,471.02/469.89
  6. Step 6: Final answer
    x = 362.79

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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.