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Finding the Fourth Proportional to 472.27, 651.73 and 262.44

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Solution

The fourth proportional to 472.27, 651.73 and 262.44 is: 362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.27 : 651.73 = 262.44 : x
  2. Step 2: Convert to fraction form
    472.27/651.73 = 262.44/x
  3. Step 3: Cross multiply
    472.27x = 651.73 × 262.44
  4. Step 4: Simplify right side
    472.27x = 171,038.71
  5. Step 5: Solve for x
    x = 171,038.71/472.27
  6. Step 6: Final answer
    x = 362.16

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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.