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Finding the Fourth Proportional to 354.66, 489.29 and 216.74

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Solution

The fourth proportional to 354.66, 489.29 and 216.74 is: 299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.66 : 489.29 = 216.74 : x
  2. Step 2: Convert to fraction form
    354.66/489.29 = 216.74/x
  3. Step 3: Cross multiply
    354.66x = 489.29 × 216.74
  4. Step 4: Simplify right side
    354.66x = 106,048.71
  5. Step 5: Solve for x
    x = 106,048.71/354.66
  6. Step 6: Final answer
    x = 299.02

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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.