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Finding the Fourth Proportional to 512.19, 764.34 and 457.50

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Solution

The fourth proportional to 512.19, 764.34 and 457.50 is: 682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 764.34 = 457.50 : x
  2. Step 2: Convert to fraction form
    512.19/764.34 = 457.50/x
  3. Step 3: Cross multiply
    512.19x = 764.34 × 457.50
  4. Step 4: Simplify right side
    512.19x = 349,685.55
  5. Step 5: Solve for x
    x = 349,685.55/512.19
  6. Step 6: Final answer
    x = 682.73

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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.