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Finding the Fourth Proportional to 704.54, 972.25 and 389.75

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Solution

The fourth proportional to 704.54, 972.25 and 389.75 is: 537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.54 : 972.25 = 389.75 : x
  2. Step 2: Convert to fraction form
    704.54/972.25 = 389.75/x
  3. Step 3: Cross multiply
    704.54x = 972.25 × 389.75
  4. Step 4: Simplify right side
    704.54x = 378,934.44
  5. Step 5: Solve for x
    x = 378,934.44/704.54
  6. Step 6: Final answer
    x = 537.85

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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.