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Finding the Fourth Proportional to 640.84, 884.34 and 466.92

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Solution

The fourth proportional to 640.84, 884.34 and 466.92 is: 644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.84 : 884.34 = 466.92 : x
  2. Step 2: Convert to fraction form
    640.84/884.34 = 466.92/x
  3. Step 3: Cross multiply
    640.84x = 884.34 × 466.92
  4. Step 4: Simplify right side
    640.84x = 412,916.03
  5. Step 5: Solve for x
    x = 412,916.03/640.84
  6. Step 6: Final answer
    x = 644.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.