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Finding the Fourth Proportional to 293.52, 404.54 and 210.76

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Solution

The fourth proportional to 293.52, 404.54 and 210.76 is: 290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.52 : 404.54 = 210.76 : x
  2. Step 2: Convert to fraction form
    293.52/404.54 = 210.76/x
  3. Step 3: Cross multiply
    293.52x = 404.54 × 210.76
  4. Step 4: Simplify right side
    293.52x = 85,260.85
  5. Step 5: Solve for x
    x = 85,260.85/293.52
  6. Step 6: Final answer
    x = 290.48

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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.