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Finding the Fourth Proportional to 366.23, 546.10 and 323.06

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Solution

The fourth proportional to 366.23, 546.10 and 323.06 is: 481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.23 : 546.10 = 323.06 : x
  2. Step 2: Convert to fraction form
    366.23/546.10 = 323.06/x
  3. Step 3: Cross multiply
    366.23x = 546.10 × 323.06
  4. Step 4: Simplify right side
    366.23x = 176,423.07
  5. Step 5: Solve for x
    x = 176,423.07/366.23
  6. Step 6: Final answer
    x = 481.73

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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.