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Finding the Fourth Proportional to 293.58, 404.76 and 210.72

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Solution

The fourth proportional to 293.58, 404.76 and 210.72 is: 290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.58 : 404.76 = 210.72 : x
  2. Step 2: Convert to fraction form
    293.58/404.76 = 210.72/x
  3. Step 3: Cross multiply
    293.58x = 404.76 × 210.72
  4. Step 4: Simplify right side
    293.58x = 85,291.03
  5. Step 5: Solve for x
    x = 85,291.03/293.58
  6. Step 6: Final answer
    x = 290.52

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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.