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Finding the Fourth Proportional to 706.46, 974.86 and 411.70

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Solution

The fourth proportional to 706.46, 974.86 and 411.70 is: 568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 974.86 = 411.70 : x
  2. Step 2: Convert to fraction form
    706.46/974.86 = 411.70/x
  3. Step 3: Cross multiply
    706.46x = 974.86 × 411.70
  4. Step 4: Simplify right side
    706.46x = 401,349.86
  5. Step 5: Solve for x
    x = 401,349.86/706.46
  6. Step 6: Final answer
    x = 568.11

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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.