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Finding the Fourth Proportional to 704.17, 971.46 and 482.74

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Solution

The fourth proportional to 704.17, 971.46 and 482.74 is: 665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.17 : 971.46 = 482.74 : x
  2. Step 2: Convert to fraction form
    704.17/971.46 = 482.74/x
  3. Step 3: Cross multiply
    704.17x = 971.46 × 482.74
  4. Step 4: Simplify right side
    704.17x = 468,960.17
  5. Step 5: Solve for x
    x = 468,960.17/704.17
  6. Step 6: Final answer
    x = 665.97

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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.