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Finding the Fourth Proportional to 354.42, 489.06 and 214.74

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Solution

The fourth proportional to 354.42, 489.06 and 214.74 is: 296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.42 : 489.06 = 214.74 : x
  2. Step 2: Convert to fraction form
    354.42/489.06 = 214.74/x
  3. Step 3: Cross multiply
    354.42x = 489.06 × 214.74
  4. Step 4: Simplify right side
    354.42x = 105,020.74
  5. Step 5: Solve for x
    x = 105,020.74/354.42
  6. Step 6: Final answer
    x = 296.32

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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.