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Finding the Fourth Proportional to 333.65, 460.52 and 223.24

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Solution

The fourth proportional to 333.65, 460.52 and 223.24 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.65 : 460.52 = 223.24 : x
  2. Step 2: Convert to fraction form
    333.65/460.52 = 223.24/x
  3. Step 3: Cross multiply
    333.65x = 460.52 × 223.24
  4. Step 4: Simplify right side
    333.65x = 102,803.07
  5. Step 5: Solve for x
    x = 102,803.07/333.65
  6. Step 6: Final answer
    x = 308.12

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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.