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Finding the Fourth Proportional to 649.24, 973.82 and 284.03

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Solution

The fourth proportional to 649.24, 973.82 and 284.03 is: 426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.24 : 973.82 = 284.03 : x
  2. Step 2: Convert to fraction form
    649.24/973.82 = 284.03/x
  3. Step 3: Cross multiply
    649.24x = 973.82 × 284.03
  4. Step 4: Simplify right side
    649.24x = 276,594.12
  5. Step 5: Solve for x
    x = 276,594.12/649.24
  6. Step 6: Final answer
    x = 426.03

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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.