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Finding the Fourth Proportional to 542.73, 746.21 and 483.17

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Solution

The fourth proportional to 542.73, 746.21 and 483.17 is: 664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.73 : 746.21 = 483.17 : x
  2. Step 2: Convert to fraction form
    542.73/746.21 = 483.17/x
  3. Step 3: Cross multiply
    542.73x = 746.21 × 483.17
  4. Step 4: Simplify right side
    542.73x = 360,543.76
  5. Step 5: Solve for x
    x = 360,543.76/542.73
  6. Step 6: Final answer
    x = 664.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.