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Finding the Fourth Proportional to 706.22, 974.64 and 411.60

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Solution

The fourth proportional to 706.22, 974.64 and 411.60 is: 568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.22 : 974.64 = 411.60 : x
  2. Step 2: Convert to fraction form
    706.22/974.64 = 411.60/x
  3. Step 3: Cross multiply
    706.22x = 974.64 × 411.60
  4. Step 4: Simplify right side
    706.22x = 401,161.82
  5. Step 5: Solve for x
    x = 401,161.82/706.22
  6. Step 6: Final answer
    x = 568.04

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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.