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Finding the Fourth Proportional to 332.67, 458.85 and 214.68

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Solution

The fourth proportional to 332.67, 458.85 and 214.68 is: 296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.67 : 458.85 = 214.68 : x
  2. Step 2: Convert to fraction form
    332.67/458.85 = 214.68/x
  3. Step 3: Cross multiply
    332.67x = 458.85 × 214.68
  4. Step 4: Simplify right side
    332.67x = 98,505.92
  5. Step 5: Solve for x
    x = 98,505.92/332.67
  6. Step 6: Final answer
    x = 296.11

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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.