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Finding the Fourth Proportional to 333.83, 460.94 and 229.14

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Solution

The fourth proportional to 333.83, 460.94 and 229.14 is: 316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.83 : 460.94 = 229.14 : x
  2. Step 2: Convert to fraction form
    333.83/460.94 = 229.14/x
  3. Step 3: Cross multiply
    333.83x = 460.94 × 229.14
  4. Step 4: Simplify right side
    333.83x = 105,618.65
  5. Step 5: Solve for x
    x = 105,618.65/333.83
  6. Step 6: Final answer
    x = 316.38

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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.