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Finding the Fourth Proportional to 649.84, 974.82 and 284.92

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Solution

The fourth proportional to 649.84, 974.82 and 284.92 is: 427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.84 : 974.82 = 284.92 : x
  2. Step 2: Convert to fraction form
    649.84/974.82 = 284.92/x
  3. Step 3: Cross multiply
    649.84x = 974.82 × 284.92
  4. Step 4: Simplify right side
    649.84x = 277,745.71
  5. Step 5: Solve for x
    x = 277,745.71/649.84
  6. Step 6: Final answer
    x = 427.41

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1.5x scale

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.