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Finding the Fourth Proportional to 512.10, 768.15 and 293.40

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Solution

The fourth proportional to 512.10, 768.15 and 293.40 is: 440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.10 : 768.15 = 293.40 : x
  2. Step 2: Convert to fraction form
    512.10/768.15 = 293.40/x
  3. Step 3: Cross multiply
    512.10x = 768.15 × 293.40
  4. Step 4: Simplify right side
    512.10x = 225,375.21
  5. Step 5: Solve for x
    x = 225,375.21/512.10
  6. Step 6: Final answer
    x = 440.10

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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.