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Finding the Fourth Proportional to 293.45, 404.59 and 214.70

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Solution

The fourth proportional to 293.45, 404.59 and 214.70 is: 296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 404.59 = 214.70 : x
  2. Step 2: Convert to fraction form
    293.45/404.59 = 214.70/x
  3. Step 3: Cross multiply
    293.45x = 404.59 × 214.70
  4. Step 4: Simplify right side
    293.45x = 86,864.70
  5. Step 5: Solve for x
    x = 86,864.70/293.45
  6. Step 6: Final answer
    x = 296.02

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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.