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Finding the Fourth Proportional to 704.57, 972.30 and 394.07

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Solution

The fourth proportional to 704.57, 972.30 and 394.07 is: 543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.57 : 972.30 = 394.07 : x
  2. Step 2: Convert to fraction form
    704.57/972.30 = 394.07/x
  3. Step 3: Cross multiply
    704.57x = 972.30 × 394.07
  4. Step 4: Simplify right side
    704.57x = 383,154.13
  5. Step 5: Solve for x
    x = 383,154.13/704.57
  6. Step 6: Final answer
    x = 543.81

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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.