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Finding the Fourth Proportional to 704.88, 972.73 and 394.38

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Solution

The fourth proportional to 704.88, 972.73 and 394.38 is: 544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.88 : 972.73 = 394.38 : x
  2. Step 2: Convert to fraction form
    704.88/972.73 = 394.38/x
  3. Step 3: Cross multiply
    704.88x = 972.73 × 394.38
  4. Step 4: Simplify right side
    704.88x = 383,625.26
  5. Step 5: Solve for x
    x = 383,625.26/704.88
  6. Step 6: Final answer
    x = 544.24

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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.