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Finding the Fourth Proportional to 548.70, 821.45 and 491.10

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Solution

The fourth proportional to 548.70, 821.45 and 491.10 is: 735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.70 : 821.45 = 491.10 : x
  2. Step 2: Convert to fraction form
    548.70/821.45 = 491.10/x
  3. Step 3: Cross multiply
    548.70x = 821.45 × 491.10
  4. Step 4: Simplify right side
    548.70x = 403,414.10
  5. Step 5: Solve for x
    x = 403,414.10/548.70
  6. Step 6: Final answer
    x = 735.22

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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.