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Finding the Fourth Proportional to 469.88, 648.43 and 262.88

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Solution

The fourth proportional to 469.88, 648.43 and 262.88 is: 362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.88 : 648.43 = 262.88 : x
  2. Step 2: Convert to fraction form
    469.88/648.43 = 262.88/x
  3. Step 3: Cross multiply
    469.88x = 648.43 × 262.88
  4. Step 4: Simplify right side
    469.88x = 170,455.38
  5. Step 5: Solve for x
    x = 170,455.38/469.88
  6. Step 6: Final answer
    x = 362.77

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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.