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Finding the Fourth Proportional to 472.31, 651.77 and 262.48

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Solution

The fourth proportional to 472.31, 651.77 and 262.48 is: 362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.31 : 651.77 = 262.48 : x
  2. Step 2: Convert to fraction form
    472.31/651.77 = 262.48/x
  3. Step 3: Cross multiply
    472.31x = 651.77 × 262.48
  4. Step 4: Simplify right side
    472.31x = 171,076.59
  5. Step 5: Solve for x
    x = 171,076.59/472.31
  6. Step 6: Final answer
    x = 362.21

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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.