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Finding the Fourth Proportional to 509.74, 768.01 and 461.05

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Solution

The fourth proportional to 509.74, 768.01 and 461.05 is: 694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.74 : 768.01 = 461.05 : x
  2. Step 2: Convert to fraction form
    509.74/768.01 = 461.05/x
  3. Step 3: Cross multiply
    509.74x = 768.01 × 461.05
  4. Step 4: Simplify right side
    509.74x = 354,086.59
  5. Step 5: Solve for x
    x = 354,086.59/509.74
  6. Step 6: Final answer
    x = 694.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.