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Finding the Fourth Proportional to 706.32, 974.70 and 411.68

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Solution

The fourth proportional to 706.32, 974.70 and 411.68 is: 568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.32 : 974.70 = 411.68 : x
  2. Step 2: Convert to fraction form
    706.32/974.70 = 411.68/x
  3. Step 3: Cross multiply
    706.32x = 974.70 × 411.68
  4. Step 4: Simplify right side
    706.32x = 401,266.93
  5. Step 5: Solve for x
    x = 401,266.93/706.32
  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.