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Finding the Fourth Proportional to 704.76, 972.58 and 394.26

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Solution

The fourth proportional to 704.76, 972.58 and 394.26 is: 544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.76 : 972.58 = 394.26 : x
  2. Step 2: Convert to fraction form
    704.76/972.58 = 394.26/x
  3. Step 3: Cross multiply
    704.76x = 972.58 × 394.26
  4. Step 4: Simplify right side
    704.76x = 383,449.39
  5. Step 5: Solve for x
    x = 383,449.39/704.76
  6. Step 6: Final answer
    x = 544.09

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