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Finding the Fourth Proportional to 706.48, 974.97 and 411.77

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Solution

The fourth proportional to 706.48, 974.97 and 411.77 is: 568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.48 : 974.97 = 411.77 : x
  2. Step 2: Convert to fraction form
    706.48/974.97 = 411.77/x
  3. Step 3: Cross multiply
    706.48x = 974.97 × 411.77
  4. Step 4: Simplify right side
    706.48x = 401,465.83
  5. Step 5: Solve for x
    x = 401,465.83/706.48
  6. Step 6: Final answer
    x = 568.26

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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.