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Finding the Fourth Proportional to 512.19, 706.83 and 302.41

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Solution

The fourth proportional to 512.19, 706.83 and 302.41 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 706.83 = 302.41 : x
  2. Step 2: Convert to fraction form
    512.19/706.83 = 302.41/x
  3. Step 3: Cross multiply
    512.19x = 706.83 × 302.41
  4. Step 4: Simplify right side
    512.19x = 213,750.95
  5. Step 5: Solve for x
    x = 213,750.95/512.19
  6. Step 6: Final answer
    x = 417.33

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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.