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Finding the Fourth Proportional to 512.02, 706.57 and 302.23

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Solution

The fourth proportional to 512.02, 706.57 and 302.23 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 706.57 = 302.23 : x
  2. Step 2: Convert to fraction form
    512.02/706.57 = 302.23/x
  3. Step 3: Cross multiply
    512.02x = 706.57 × 302.23
  4. Step 4: Simplify right side
    512.02x = 213,548.48
  5. Step 5: Solve for x
    x = 213,548.48/512.02
  6. Step 6: Final answer
    x = 417.07

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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.