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Finding the Fourth Proportional to 332.61, 458.97 and 214.75

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Solution

The fourth proportional to 332.61, 458.97 and 214.75 is: 296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.61 : 458.97 = 214.75 : x
  2. Step 2: Convert to fraction form
    332.61/458.97 = 214.75/x
  3. Step 3: Cross multiply
    332.61x = 458.97 × 214.75
  4. Step 4: Simplify right side
    332.61x = 98,563.58
  5. Step 5: Solve for x
    x = 98,563.58/332.61
  6. Step 6: Final answer
    x = 296.34

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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.