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Finding the Fourth Proportional to 512.70, 769.35 and 224.13

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Solution

The fourth proportional to 512.70, 769.35 and 224.13 is: 336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.70 : 769.35 = 224.13 : x
  2. Step 2: Convert to fraction form
    512.70/769.35 = 224.13/x
  3. Step 3: Cross multiply
    512.70x = 769.35 × 224.13
  4. Step 4: Simplify right side
    512.70x = 172,434.42
  5. Step 5: Solve for x
    x = 172,434.42/512.70
  6. Step 6: Final answer
    x = 336.33

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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.