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Finding the Fourth Proportional to 546.62, 753.99 and 336.83

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Solution

The fourth proportional to 546.62, 753.99 and 336.83 is: 464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.62 : 753.99 = 336.83 : x
  2. Step 2: Convert to fraction form
    546.62/753.99 = 336.83/x
  3. Step 3: Cross multiply
    546.62x = 753.99 × 336.83
  4. Step 4: Simplify right side
    546.62x = 253,962.68
  5. Step 5: Solve for x
    x = 253,962.68/546.62
  6. Step 6: Final answer
    x = 464.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.