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Finding the Fourth Proportional to 512.48, 772.50 and 482.76

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Solution

The fourth proportional to 512.48, 772.50 and 482.76 is: 727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.48 : 772.50 = 482.76 : x
  2. Step 2: Convert to fraction form
    512.48/772.50 = 482.76/x
  3. Step 3: Cross multiply
    512.48x = 772.50 × 482.76
  4. Step 4: Simplify right side
    512.48x = 372,932.10
  5. Step 5: Solve for x
    x = 372,932.10/512.48
  6. Step 6: Final answer
    x = 727.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.