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Finding the Fourth Proportional to 512.09, 706.69 and 302.27

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Solution

The fourth proportional to 512.09, 706.69 and 302.27 is: 417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.09 : 706.69 = 302.27 : x
  2. Step 2: Convert to fraction form
    512.09/706.69 = 302.27/x
  3. Step 3: Cross multiply
    512.09x = 706.69 × 302.27
  4. Step 4: Simplify right side
    512.09x = 213,607.66
  5. Step 5: Solve for x
    x = 213,607.66/512.09
  6. Step 6: Final answer
    x = 417.13

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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.