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Finding the Fourth Proportional to 366.23, 546.74 and 353.42

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Solution

The fourth proportional to 366.23, 546.74 and 353.42 is: 527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.23 : 546.74 = 353.42 : x
  2. Step 2: Convert to fraction form
    366.23/546.74 = 353.42/x
  3. Step 3: Cross multiply
    366.23x = 546.74 × 353.42
  4. Step 4: Simplify right side
    366.23x = 193,228.85
  5. Step 5: Solve for x
    x = 193,228.85/366.23
  6. Step 6: Final answer
    x = 527.62

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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.