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Finding the Fourth Proportional to 366.24, 546.66 and 333.84

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Solution

The fourth proportional to 366.24, 546.66 and 333.84 is: 498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.24 : 546.66 = 333.84 : x
  2. Step 2: Convert to fraction form
    366.24/546.66 = 333.84/x
  3. Step 3: Cross multiply
    366.24x = 546.66 × 333.84
  4. Step 4: Simplify right side
    366.24x = 182,496.97
  5. Step 5: Solve for x
    x = 182,496.97/366.24
  6. Step 6: Final answer
    x = 498.30

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Why These Related Problems?

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