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Finding the Fourth Proportional to 287.02, 396.17 and 213.58

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Solution

The fourth proportional to 287.02, 396.17 and 213.58 is: 294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.02 : 396.17 = 213.58 : x
  2. Step 2: Convert to fraction form
    287.02/396.17 = 213.58/x
  3. Step 3: Cross multiply
    287.02x = 396.17 × 213.58
  4. Step 4: Simplify right side
    287.02x = 84,613.99
  5. Step 5: Solve for x
    x = 84,613.99/287.02
  6. Step 6: Final answer
    x = 294.80

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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.