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Finding the Fourth Proportional to 512.24, 762.55 and 509.49

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Solution

The fourth proportional to 512.24, 762.55 and 509.49 is: 758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.24 : 762.55 = 509.49 : x
  2. Step 2: Convert to fraction form
    512.24/762.55 = 509.49/x
  3. Step 3: Cross multiply
    512.24x = 762.55 × 509.49
  4. Step 4: Simplify right side
    512.24x = 388,510.33
  5. Step 5: Solve for x
    x = 388,510.33/512.24
  6. Step 6: Final answer
    x = 758.46

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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.