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Finding the Fourth Proportional to 512.24, 706.78 and 302.43

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Solution

The fourth proportional to 512.24, 706.78 and 302.43 is: 417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.24 : 706.78 = 302.43 : x
  2. Step 2: Convert to fraction form
    512.24/706.78 = 302.43/x
  3. Step 3: Cross multiply
    512.24x = 706.78 × 302.43
  4. Step 4: Simplify right side
    512.24x = 213,751.48
  5. Step 5: Solve for x
    x = 213,751.48/512.24
  6. Step 6: Final answer
    x = 417.29

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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.