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Finding the Fourth Proportional to 512.26, 706.92 and 279.40

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Solution

The fourth proportional to 512.26, 706.92 and 279.40 is: 385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 706.92 = 279.40 : x
  2. Step 2: Convert to fraction form
    512.26/706.92 = 279.40/x
  3. Step 3: Cross multiply
    512.26x = 706.92 × 279.40
  4. Step 4: Simplify right side
    512.26x = 197,513.45
  5. Step 5: Solve for x
    x = 197,513.45/512.26
  6. Step 6: Final answer
    x = 385.57

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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.