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Finding the Fourth Proportional to 333.71, 460.79 and 263.71

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Solution

The fourth proportional to 333.71, 460.79 and 263.71 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.71 : 460.79 = 263.71 : x
  2. Step 2: Convert to fraction form
    333.71/460.79 = 263.71/x
  3. Step 3: Cross multiply
    333.71x = 460.79 × 263.71
  4. Step 4: Simplify right side
    333.71x = 121,514.93
  5. Step 5: Solve for x
    x = 121,514.93/333.71
  6. Step 6: Final answer
    x = 364.13

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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.