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Finding the Fourth Proportional to 366.30, 546.80 and 311.61

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Solution

The fourth proportional to 366.30, 546.80 and 311.61 is: 465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.30 : 546.80 = 311.61 : x
  2. Step 2: Convert to fraction form
    366.30/546.80 = 311.61/x
  3. Step 3: Cross multiply
    366.30x = 546.80 × 311.61
  4. Step 4: Simplify right side
    366.30x = 170,389.13
  5. Step 5: Solve for x
    x = 170,389.13/366.30
  6. Step 6: Final answer
    x = 465.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.