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Finding the Fourth Proportional to 997.99, 1,496.81 and 304.49

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Solution

The fourth proportional to 997.99, 1,496.81 and 304.49 is: 456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.99 : 1,496.81 = 304.49 : x
  2. Step 2: Convert to fraction form
    997.99/1,496.81 = 304.49/x
  3. Step 3: Cross multiply
    997.99x = 1,496.81 × 304.49
  4. Step 4: Simplify right side
    997.99x = 455,768.18
  5. Step 5: Solve for x
    x = 455,768.18/997.99
  6. Step 6: Final answer
    x = 456.69

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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.