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Finding the Fourth Proportional to 510.13, 764.74 and 185.42

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Solution

The fourth proportional to 510.13, 764.74 and 185.42 is: 277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.13 : 764.74 = 185.42 : x
  2. Step 2: Convert to fraction form
    510.13/764.74 = 185.42/x
  3. Step 3: Cross multiply
    510.13x = 764.74 × 185.42
  4. Step 4: Simplify right side
    510.13x = 141,797.16
  5. Step 5: Solve for x
    x = 141,797.16/510.13
  6. Step 6: Final answer
    x = 277.97

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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.