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Finding the Fourth Proportional to 512.54, 707.29 and 279.66

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Solution

The fourth proportional to 512.54, 707.29 and 279.66 is: 385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.54 : 707.29 = 279.66 : x
  2. Step 2: Convert to fraction form
    512.54/707.29 = 279.66/x
  3. Step 3: Cross multiply
    512.54x = 707.29 × 279.66
  4. Step 4: Simplify right side
    512.54x = 197,800.72
  5. Step 5: Solve for x
    x = 197,800.72/512.54
  6. Step 6: Final answer
    x = 385.92

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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.