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Finding the Fourth Proportional to 354.49, 489.27 and 214.63

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Solution

The fourth proportional to 354.49, 489.27 and 214.63 is: 296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.49 : 489.27 = 214.63 : x
  2. Step 2: Convert to fraction form
    354.49/489.27 = 214.63/x
  3. Step 3: Cross multiply
    354.49x = 489.27 × 214.63
  4. Step 4: Simplify right side
    354.49x = 105,012.02
  5. Step 5: Solve for x
    x = 105,012.02/354.49
  6. Step 6: Final answer
    x = 296.23

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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.