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Finding the Fourth Proportional to 512.22, 706.90 and 302.36

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Solution

The fourth proportional to 512.22, 706.90 and 302.36 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.22 : 706.90 = 302.36 : x
  2. Step 2: Convert to fraction form
    512.22/706.90 = 302.36/x
  3. Step 3: Cross multiply
    512.22x = 706.90 × 302.36
  4. Step 4: Simplify right side
    512.22x = 213,738.28
  5. Step 5: Solve for x
    x = 213,738.28/512.22
  6. Step 6: Final answer
    x = 417.28

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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.