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Finding the Fourth Proportional to 512.32, 706.99 and 279.45

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Solution

The fourth proportional to 512.32, 706.99 and 279.45 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.32 : 706.99 = 279.45 : x
  2. Step 2: Convert to fraction form
    512.32/706.99 = 279.45/x
  3. Step 3: Cross multiply
    512.32x = 706.99 × 279.45
  4. Step 4: Simplify right side
    512.32x = 197,568.36
  5. Step 5: Solve for x
    x = 197,568.36/512.32
  6. Step 6: Final answer
    x = 385.63

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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.