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Finding the Fourth Proportional to 469.93, 648.51 and 262.93

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Solution

The fourth proportional to 469.93, 648.51 and 262.93 is: 362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.93 : 648.51 = 262.93 : x
  2. Step 2: Convert to fraction form
    469.93/648.51 = 262.93/x
  3. Step 3: Cross multiply
    469.93x = 648.51 × 262.93
  4. Step 4: Simplify right side
    469.93x = 170,512.73
  5. Step 5: Solve for x
    x = 170,512.73/469.93
  6. Step 6: Final answer
    x = 362.85

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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.