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Finding the Fourth Proportional to 354.64, 489.42 and 214.78

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Solution

The fourth proportional to 354.64, 489.42 and 214.78 is: 296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.64 : 489.42 = 214.78 : x
  2. Step 2: Convert to fraction form
    354.64/489.42 = 214.78/x
  3. Step 3: Cross multiply
    354.64x = 489.42 × 214.78
  4. Step 4: Simplify right side
    354.64x = 105,117.63
  5. Step 5: Solve for x
    x = 105,117.63/354.64
  6. Step 6: Final answer
    x = 296.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.