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Finding the Fourth Proportional to 333.52, 460.47 and 215.54

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Solution

The fourth proportional to 333.52, 460.47 and 215.54 is: 297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.52 : 460.47 = 215.54 : x
  2. Step 2: Convert to fraction form
    333.52/460.47 = 215.54/x
  3. Step 3: Cross multiply
    333.52x = 460.47 × 215.54
  4. Step 4: Simplify right side
    333.52x = 99,251.31
  5. Step 5: Solve for x
    x = 99,251.31/333.52
  6. Step 6: Final answer
    x = 297.59

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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.