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Finding the Fourth Proportional to 366.12, 549.33 and 285.66

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Solution

The fourth proportional to 366.12, 549.33 and 285.66 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.12 : 549.33 = 285.66 : x
  2. Step 2: Convert to fraction form
    366.12/549.33 = 285.66/x
  3. Step 3: Cross multiply
    366.12x = 549.33 × 285.66
  4. Step 4: Simplify right side
    366.12x = 156,921.61
  5. Step 5: Solve for x
    x = 156,921.61/366.12
  6. Step 6: Final answer
    x = 428.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.