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Finding the Fourth Proportional to 510.36, 764.79 and 458.73

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Solution

The fourth proportional to 510.36, 764.79 and 458.73 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.36 : 764.79 = 458.73 : x
  2. Step 2: Convert to fraction form
    510.36/764.79 = 458.73/x
  3. Step 3: Cross multiply
    510.36x = 764.79 × 458.73
  4. Step 4: Simplify right side
    510.36x = 350,832.12
  5. Step 5: Solve for x
    x = 350,832.12/510.36
  6. Step 6: Final answer
    x = 687.42

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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.