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Finding the Fourth Proportional to 546.50, 753.96 and 336.64

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Solution

The fourth proportional to 546.50, 753.96 and 336.64 is: 464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 753.96 = 336.64 : x
  2. Step 2: Convert to fraction form
    546.50/753.96 = 336.64/x
  3. Step 3: Cross multiply
    546.50x = 753.96 × 336.64
  4. Step 4: Simplify right side
    546.50x = 253,813.09
  5. Step 5: Solve for x
    x = 253,813.09/546.50
  6. Step 6: Final answer
    x = 464.43

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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.