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Finding the Fourth Proportional to 354.52, 489.14 and 214.54

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Solution

The fourth proportional to 354.52, 489.14 and 214.54 is: 296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.52 : 489.14 = 214.54 : x
  2. Step 2: Convert to fraction form
    354.52/489.14 = 214.54/x
  3. Step 3: Cross multiply
    354.52x = 489.14 × 214.54
  4. Step 4: Simplify right side
    354.52x = 104,936.58
  5. Step 5: Solve for x
    x = 104,936.58/354.52
  6. Step 6: Final answer
    x = 296.00

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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.