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Finding the Fourth Proportional to 510.10, 764.81 and 278.81

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Solution

The fourth proportional to 510.10, 764.81 and 278.81 is: 418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.10 : 764.81 = 278.81 : x
  2. Step 2: Convert to fraction form
    510.10/764.81 = 278.81/x
  3. Step 3: Cross multiply
    510.10x = 764.81 × 278.81
  4. Step 4: Simplify right side
    510.10x = 213,235.37
  5. Step 5: Solve for x
    x = 213,235.37/510.10
  6. Step 6: Final answer
    x = 418.03

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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.