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Finding the Fourth Proportional to 366.84, 546.47 and 344.43

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Solution

The fourth proportional to 366.84, 546.47 and 344.43 is: 513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.84 : 546.47 = 344.43 : x
  2. Step 2: Convert to fraction form
    366.84/546.47 = 344.43/x
  3. Step 3: Cross multiply
    366.84x = 546.47 × 344.43
  4. Step 4: Simplify right side
    366.84x = 188,218.94
  5. Step 5: Solve for x
    x = 188,218.94/366.84
  6. Step 6: Final answer
    x = 513.08

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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.