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Finding the Fourth Proportional to 706.36, 974.82 and 395.86

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Solution

The fourth proportional to 706.36, 974.82 and 395.86 is: 546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.36 : 974.82 = 395.86 : x
  2. Step 2: Convert to fraction form
    706.36/974.82 = 395.86/x
  3. Step 3: Cross multiply
    706.36x = 974.82 × 395.86
  4. Step 4: Simplify right side
    706.36x = 385,892.25
  5. Step 5: Solve for x
    x = 385,892.25/706.36
  6. Step 6: Final answer
    x = 546.31

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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.