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Finding the Fourth Proportional to 706.11, 974.43 and 411.58

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Solution

The fourth proportional to 706.11, 974.43 and 411.58 is: 567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.11 : 974.43 = 411.58 : x
  2. Step 2: Convert to fraction form
    706.11/974.43 = 411.58/x
  3. Step 3: Cross multiply
    706.11x = 974.43 × 411.58
  4. Step 4: Simplify right side
    706.11x = 401,051.03
  5. Step 5: Solve for x
    x = 401,051.03/706.11
  6. Step 6: Final answer
    x = 567.97

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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.