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Finding the Fourth Proportional to 706.60, 975.11 and 396.10

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Solution

The fourth proportional to 706.60, 975.11 and 396.10 is: 546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.60 : 975.11 = 396.10 : x
  2. Step 2: Convert to fraction form
    706.60/975.11 = 396.10/x
  3. Step 3: Cross multiply
    706.60x = 975.11 × 396.10
  4. Step 4: Simplify right side
    706.60x = 386,241.07
  5. Step 5: Solve for x
    x = 386,241.07/706.60
  6. Step 6: Final answer
    x = 546.62

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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.