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Finding the Fourth Proportional to 509.39, 704.81 and 444.03

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Solution

The fourth proportional to 509.39, 704.81 and 444.03 is: 614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.39 : 704.81 = 444.03 : x
  2. Step 2: Convert to fraction form
    509.39/704.81 = 444.03/x
  3. Step 3: Cross multiply
    509.39x = 704.81 × 444.03
  4. Step 4: Simplify right side
    509.39x = 312,956.78
  5. Step 5: Solve for x
    x = 312,956.78/509.39
  6. Step 6: Final answer
    x = 614.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.