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Finding the Fourth Proportional to 547.56, 820.26 and 450.72

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Solution

The fourth proportional to 547.56, 820.26 and 450.72 is: 675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.56 : 820.26 = 450.72 : x
  2. Step 2: Convert to fraction form
    547.56/820.26 = 450.72/x
  3. Step 3: Cross multiply
    547.56x = 820.26 × 450.72
  4. Step 4: Simplify right side
    547.56x = 369,707.59
  5. Step 5: Solve for x
    x = 369,707.59/547.56
  6. Step 6: Final answer
    x = 675.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.