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Finding the Fourth Proportional to 704.75, 972.59 and 394.25

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Solution

The fourth proportional to 704.75, 972.59 and 394.25 is: 544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.75 : 972.59 = 394.25 : x
  2. Step 2: Convert to fraction form
    704.75/972.59 = 394.25/x
  3. Step 3: Cross multiply
    704.75x = 972.59 × 394.25
  4. Step 4: Simplify right side
    704.75x = 383,443.61
  5. Step 5: Solve for x
    x = 383,443.61/704.75
  6. Step 6: Final answer
    x = 544.08

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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.