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Finding the Fourth Proportional to 706.48, 974.99 and 411.72

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Solution

The fourth proportional to 706.48, 974.99 and 411.72 is: 568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.48 : 974.99 = 411.72 : x
  2. Step 2: Convert to fraction form
    706.48/974.99 = 411.72/x
  3. Step 3: Cross multiply
    706.48x = 974.99 × 411.72
  4. Step 4: Simplify right side
    706.48x = 401,422.88
  5. Step 5: Solve for x
    x = 401,422.88/706.48
  6. Step 6: Final answer
    x = 568.21

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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.