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Finding the Fourth Proportional to 510.00, 764.94 and 201.77

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Solution

The fourth proportional to 510.00, 764.94 and 201.77 is: 302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.00 : 764.94 = 201.77 : x
  2. Step 2: Convert to fraction form
    510.00/764.94 = 201.77/x
  3. Step 3: Cross multiply
    510.00x = 764.94 × 201.77
  4. Step 4: Simplify right side
    510.00x = 154,339.59
  5. Step 5: Solve for x
    x = 154,339.59/510.00
  6. Step 6: Final answer
    x = 302.63

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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.