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Finding the Fourth Proportional to 546.72, 754.13 and 325.50

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Solution

The fourth proportional to 546.72, 754.13 and 325.50 is: 448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.72 : 754.13 = 325.50 : x
  2. Step 2: Convert to fraction form
    546.72/754.13 = 325.50/x
  3. Step 3: Cross multiply
    546.72x = 754.13 × 325.50
  4. Step 4: Simplify right side
    546.72x = 245,467.69
  5. Step 5: Solve for x
    x = 245,467.69/546.72
  6. Step 6: Final answer
    x = 448.98

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