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Finding the Fourth Proportional to 469.94, 648.52 and 262.94

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Solution

The fourth proportional to 469.94, 648.52 and 262.94 is: 362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.94 : 648.52 = 262.94 : x
  2. Step 2: Convert to fraction form
    469.94/648.52 = 262.94/x
  3. Step 3: Cross multiply
    469.94x = 648.52 × 262.94
  4. Step 4: Simplify right side
    469.94x = 170,520.53
  5. Step 5: Solve for x
    x = 170,520.53/469.94
  6. Step 6: Final answer
    x = 362.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.