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Finding the Fourth Proportional to 649.86, 974.13 and 284.58

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Solution

The fourth proportional to 649.86, 974.13 and 284.58 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.86 : 974.13 = 284.58 : x
  2. Step 2: Convert to fraction form
    649.86/974.13 = 284.58/x
  3. Step 3: Cross multiply
    649.86x = 974.13 × 284.58
  4. Step 4: Simplify right side
    649.86x = 277,216.85
  5. Step 5: Solve for x
    x = 277,216.85/649.86
  6. Step 6: Final answer
    x = 426.58

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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.