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Finding the Fourth Proportional to 355.43, 489.84 and 311.08

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Solution

The fourth proportional to 355.43, 489.84 and 311.08 is: 428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.43 : 489.84 = 311.08 : x
  2. Step 2: Convert to fraction form
    355.43/489.84 = 311.08/x
  3. Step 3: Cross multiply
    355.43x = 489.84 × 311.08
  4. Step 4: Simplify right side
    355.43x = 152,379.43
  5. Step 5: Solve for x
    x = 152,379.43/355.43
  6. Step 6: Final answer
    x = 428.72

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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.