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Finding the Fourth Proportional to 546.22, 817.44 and 523.54

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Solution

The fourth proportional to 546.22, 817.44 and 523.54 is: 783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.22 : 817.44 = 523.54 : x
  2. Step 2: Convert to fraction form
    546.22/817.44 = 523.54/x
  3. Step 3: Cross multiply
    546.22x = 817.44 × 523.54
  4. Step 4: Simplify right side
    546.22x = 427,962.54
  5. Step 5: Solve for x
    x = 427,962.54/546.22
  6. Step 6: Final answer
    x = 783.50

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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.