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Finding the Fourth Proportional to 366.24, 546.36 and 334.80

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Solution

The fourth proportional to 366.24, 546.36 and 334.80 is: 499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.24 : 546.36 = 334.80 : x
  2. Step 2: Convert to fraction form
    366.24/546.36 = 334.80/x
  3. Step 3: Cross multiply
    366.24x = 546.36 × 334.80
  4. Step 4: Simplify right side
    366.24x = 182,921.33
  5. Step 5: Solve for x
    x = 182,921.33/366.24
  6. Step 6: Final answer
    x = 499.46

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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.