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Finding the Fourth Proportional to 354.67, 489.09 and 214.81

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Solution

The fourth proportional to 354.67, 489.09 and 214.81 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.67 : 489.09 = 214.81 : x
  2. Step 2: Convert to fraction form
    354.67/489.09 = 214.81/x
  3. Step 3: Cross multiply
    354.67x = 489.09 × 214.81
  4. Step 4: Simplify right side
    354.67x = 105,061.42
  5. Step 5: Solve for x
    x = 105,061.42/354.67
  6. Step 6: Final answer
    x = 296.22

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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.