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Finding the Fourth Proportional to 332.09, 458.49 and 214.12

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Solution

The fourth proportional to 332.09, 458.49 and 214.12 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.09 : 458.49 = 214.12 : x
  2. Step 2: Convert to fraction form
    332.09/458.49 = 214.12/x
  3. Step 3: Cross multiply
    332.09x = 458.49 × 214.12
  4. Step 4: Simplify right side
    332.09x = 98,170.81
  5. Step 5: Solve for x
    x = 98,170.81/332.09
  6. Step 6: Final answer
    x = 295.62

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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.