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Finding the Fourth Proportional to 706.39, 974.93 and 411.83

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Solution

The fourth proportional to 706.39, 974.93 and 411.83 is: 568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.39 : 974.93 = 411.83 : x
  2. Step 2: Convert to fraction form
    706.39/974.93 = 411.83/x
  3. Step 3: Cross multiply
    706.39x = 974.93 × 411.83
  4. Step 4: Simplify right side
    706.39x = 401,505.42
  5. Step 5: Solve for x
    x = 401,505.42/706.39
  6. Step 6: Final answer
    x = 568.39

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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.