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Finding the Fourth Proportional to 512, 764.16 and 506.48

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Solution

The fourth proportional to 512, 764.16 and 506.48 is: 755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512 : 764.16 = 506.48 : x
  2. Step 2: Convert to fraction form
    512/764.16 = 506.48/x
  3. Step 3: Cross multiply
    512x = 764.16 × 506.48
  4. Step 4: Simplify right side
    512x = 387,031.76
  5. Step 5: Solve for x
    x = 387,031.76/512
  6. Step 6: Final answer
    x = 755.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.