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Finding the Fourth Proportional to 512.02, 706.44 and 302.21

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Solution

The fourth proportional to 512.02, 706.44 and 302.21 is: 416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 706.44 = 302.21 : x
  2. Step 2: Convert to fraction form
    512.02/706.44 = 302.21/x
  3. Step 3: Cross multiply
    512.02x = 706.44 × 302.21
  4. Step 4: Simplify right side
    512.02x = 213,495.76
  5. Step 5: Solve for x
    x = 213,495.76/512.02
  6. Step 6: Final answer
    x = 416.97

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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.