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Finding the Fourth Proportional to 697.41, 1,046.28 and 286.44

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Solution

The fourth proportional to 697.41, 1,046.28 and 286.44 is: 429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.41 : 1,046.28 = 286.44 : x
  2. Step 2: Convert to fraction form
    697.41/1,046.28 = 286.44/x
  3. Step 3: Cross multiply
    697.41x = 1,046.28 × 286.44
  4. Step 4: Simplify right side
    697.41x = 299,696.44
  5. Step 5: Solve for x
    x = 299,696.44/697.41
  6. Step 6: Final answer
    x = 429.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.