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Finding the Fourth Proportional to 649.98, 974.85 and 284.77

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Solution

The fourth proportional to 649.98, 974.85 and 284.77 is: 427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.98 : 974.85 = 284.77 : x
  2. Step 2: Convert to fraction form
    649.98/974.85 = 284.77/x
  3. Step 3: Cross multiply
    649.98x = 974.85 × 284.77
  4. Step 4: Simplify right side
    649.98x = 277,608.03
  5. Step 5: Solve for x
    x = 277,608.03/649.98
  6. Step 6: Final answer
    x = 427.10

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Half scale
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Double scale
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Similar ratio
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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.