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Finding the Fourth Proportional to 542.30, 748.37 and 293.63

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Solution

The fourth proportional to 542.30, 748.37 and 293.63 is: 405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.30 : 748.37 = 293.63 : x
  2. Step 2: Convert to fraction form
    542.30/748.37 = 293.63/x
  3. Step 3: Cross multiply
    542.30x = 748.37 × 293.63
  4. Step 4: Simplify right side
    542.30x = 219,740.88
  5. Step 5: Solve for x
    x = 219,740.88/542.30
  6. Step 6: Final answer
    x = 405.21

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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.