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Finding the Fourth Proportional to 512.36, 706.76 and 302.47

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Solution

The fourth proportional to 512.36, 706.76 and 302.47 is: 417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.36 : 706.76 = 302.47 : x
  2. Step 2: Convert to fraction form
    512.36/706.76 = 302.47/x
  3. Step 3: Cross multiply
    512.36x = 706.76 × 302.47
  4. Step 4: Simplify right side
    512.36x = 213,771.55
  5. Step 5: Solve for x
    x = 213,771.55/512.36
  6. Step 6: Final answer
    x = 417.23

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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.