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Finding the Fourth Proportional to 333.01, 459.42 and 214.97

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Solution

The fourth proportional to 333.01, 459.42 and 214.97 is: 296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.01 : 459.42 = 214.97 : x
  2. Step 2: Convert to fraction form
    333.01/459.42 = 214.97/x
  3. Step 3: Cross multiply
    333.01x = 459.42 × 214.97
  4. Step 4: Simplify right side
    333.01x = 98,761.52
  5. Step 5: Solve for x
    x = 98,761.52/333.01
  6. Step 6: Final answer
    x = 296.57

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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.