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Finding the Fourth Proportional to 354.34, 489.11 and 214.57

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Solution

The fourth proportional to 354.34, 489.11 and 214.57 is: 296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.34 : 489.11 = 214.57 : x
  2. Step 2: Convert to fraction form
    354.34/489.11 = 214.57/x
  3. Step 3: Cross multiply
    354.34x = 489.11 × 214.57
  4. Step 4: Simplify right side
    354.34x = 104,948.68
  5. Step 5: Solve for x
    x = 104,948.68/354.34
  6. Step 6: Final answer
    x = 296.18

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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.