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Finding the Fourth Proportional to 706.42, 974.82 and 411.66

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Solution

The fourth proportional to 706.42, 974.82 and 411.66 is: 568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.42 : 974.82 = 411.66 : x
  2. Step 2: Convert to fraction form
    706.42/974.82 = 411.66/x
  3. Step 3: Cross multiply
    706.42x = 974.82 × 411.66
  4. Step 4: Simplify right side
    706.42x = 401,294.40
  5. Step 5: Solve for x
    x = 401,294.40/706.42
  6. Step 6: Final answer
    x = 568.07

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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.