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Finding the Fourth Proportional to 512.30, 768.60 and 457.85

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Solution

The fourth proportional to 512.30, 768.60 and 457.85 is: 686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.30 : 768.60 = 457.85 : x
  2. Step 2: Convert to fraction form
    512.30/768.60 = 457.85/x
  3. Step 3: Cross multiply
    512.30x = 768.60 × 457.85
  4. Step 4: Simplify right side
    512.30x = 351,899.67
  5. Step 5: Solve for x
    x = 351,899.67/512.30
  6. Step 6: Final answer
    x = 686.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.