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Finding the Fourth Proportional to 512.92, 706.14 and 396.28

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Solution

The fourth proportional to 512.92, 706.14 and 396.28 is: 545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 706.14 = 396.28 : x
  2. Step 2: Convert to fraction form
    512.92/706.14 = 396.28/x
  3. Step 3: Cross multiply
    512.92x = 706.14 × 396.28
  4. Step 4: Simplify right side
    512.92x = 279,829.16
  5. Step 5: Solve for x
    x = 279,829.16/512.92
  6. Step 6: Final answer
    x = 545.56

Related Problems

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.