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Finding the Fourth Proportional to 333.52, 460.15 and 215.46

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Solution

The fourth proportional to 333.52, 460.15 and 215.46 is: 297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.52 : 460.15 = 215.46 : x
  2. Step 2: Convert to fraction form
    333.52/460.15 = 215.46/x
  3. Step 3: Cross multiply
    333.52x = 460.15 × 215.46
  4. Step 4: Simplify right side
    333.52x = 99,143.38
  5. Step 5: Solve for x
    x = 99,143.38/333.52
  6. Step 6: Final answer
    x = 297.27

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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.