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Finding the Fourth Proportional to 336.37, 463.85 and 262.66

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Solution

The fourth proportional to 336.37, 463.85 and 262.66 is: 362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.37 : 463.85 = 262.66 : x
  2. Step 2: Convert to fraction form
    336.37/463.85 = 262.66/x
  3. Step 3: Cross multiply
    336.37x = 463.85 × 262.66
  4. Step 4: Simplify right side
    336.37x = 121,834.84
  5. Step 5: Solve for x
    x = 121,834.84/336.37
  6. Step 6: Final answer
    x = 362.20

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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.