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Finding the Fourth Proportional to 546.56, 753.92 and 325.37

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Solution

The fourth proportional to 546.56, 753.92 and 325.37 is: 448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.56 : 753.92 = 325.37 : x
  2. Step 2: Convert to fraction form
    546.56/753.92 = 325.37/x
  3. Step 3: Cross multiply
    546.56x = 753.92 × 325.37
  4. Step 4: Simplify right side
    546.56x = 245,297.55
  5. Step 5: Solve for x
    x = 245,297.55/546.56
  6. Step 6: Final answer
    x = 448.80

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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.