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Finding the Fourth Proportional to 472.70, 652.26 and 262.88

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Solution

The fourth proportional to 472.70, 652.26 and 262.88 is: 362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.70 : 652.26 = 262.88 : x
  2. Step 2: Convert to fraction form
    472.70/652.26 = 262.88/x
  3. Step 3: Cross multiply
    472.70x = 652.26 × 262.88
  4. Step 4: Simplify right side
    472.70x = 171,466.11
  5. Step 5: Solve for x
    x = 171,466.11/472.70
  6. Step 6: Final answer
    x = 362.74

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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.