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Finding the Fourth Proportional to 704.64, 972.42 and 394.14

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Solution

The fourth proportional to 704.64, 972.42 and 394.14 is: 543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.64 : 972.42 = 394.14 : x
  2. Step 2: Convert to fraction form
    704.64/972.42 = 394.14/x
  3. Step 3: Cross multiply
    704.64x = 972.42 × 394.14
  4. Step 4: Simplify right side
    704.64x = 383,269.62
  5. Step 5: Solve for x
    x = 383,269.62/704.64
  6. Step 6: Final answer
    x = 543.92

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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.