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Finding the Fourth Proportional to 333.57, 460.24 and 202.56

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Solution

The fourth proportional to 333.57, 460.24 and 202.56 is: 279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.57 : 460.24 = 202.56 : x
  2. Step 2: Convert to fraction form
    333.57/460.24 = 202.56/x
  3. Step 3: Cross multiply
    333.57x = 460.24 × 202.56
  4. Step 4: Simplify right side
    333.57x = 93,226.21
  5. Step 5: Solve for x
    x = 93,226.21/333.57
  6. Step 6: Final answer
    x = 279.48

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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.