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Finding the Fourth Proportional to 546.50, 754.16 and 325.45

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Solution

The fourth proportional to 546.50, 754.16 and 325.45 is: 449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 754.16 = 325.45 : x
  2. Step 2: Convert to fraction form
    546.50/754.16 = 325.45/x
  3. Step 3: Cross multiply
    546.50x = 754.16 × 325.45
  4. Step 4: Simplify right side
    546.50x = 245,441.37
  5. Step 5: Solve for x
    x = 245,441.37/546.50
  6. Step 6: Final answer
    x = 449.12

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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.