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Finding the Fourth Proportional to 503.05, 754.71 and 406.43

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Solution

The fourth proportional to 503.05, 754.71 and 406.43 is: 609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.05 : 754.71 = 406.43 : x
  2. Step 2: Convert to fraction form
    503.05/754.71 = 406.43/x
  3. Step 3: Cross multiply
    503.05x = 754.71 × 406.43
  4. Step 4: Simplify right side
    503.05x = 306,736.79
  5. Step 5: Solve for x
    x = 306,736.79/503.05
  6. Step 6: Final answer
    x = 609.75

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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.