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Finding the Fourth Proportional to 336.91, 465.06 and 263.74

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Solution

The fourth proportional to 336.91, 465.06 and 263.74 is: 364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.91 : 465.06 = 263.74 : x
  2. Step 2: Convert to fraction form
    336.91/465.06 = 263.74/x
  3. Step 3: Cross multiply
    336.91x = 465.06 × 263.74
  4. Step 4: Simplify right side
    336.91x = 122,654.92
  5. Step 5: Solve for x
    x = 122,654.92/336.91
  6. Step 6: Final answer
    x = 364.06

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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.