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Finding the Fourth Proportional to 542.51, 748.66 and 293.83

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Solution

The fourth proportional to 542.51, 748.66 and 293.83 is: 405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.51 : 748.66 = 293.83 : x
  2. Step 2: Convert to fraction form
    542.51/748.66 = 293.83/x
  3. Step 3: Cross multiply
    542.51x = 748.66 × 293.83
  4. Step 4: Simplify right side
    542.51x = 219,978.77
  5. Step 5: Solve for x
    x = 219,978.77/542.51
  6. Step 6: Final answer
    x = 405.48

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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.