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Finding the Fourth Proportional to 355.68, 489.29 and 311.22

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Solution

The fourth proportional to 355.68, 489.29 and 311.22 is: 428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.68 : 489.29 = 311.22 : x
  2. Step 2: Convert to fraction form
    355.68/489.29 = 311.22/x
  3. Step 3: Cross multiply
    355.68x = 489.29 × 311.22
  4. Step 4: Simplify right side
    355.68x = 152,275.28
  5. Step 5: Solve for x
    x = 152,275.28/355.68
  6. Step 6: Final answer
    x = 428.12

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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.