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Finding the Fourth Proportional to 706, 974.28 and 411.28

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Solution

The fourth proportional to 706, 974.28 and 411.28 is: 567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 974.28 = 411.28 : x
  2. Step 2: Convert to fraction form
    706/974.28 = 411.28/x
  3. Step 3: Cross multiply
    706x = 974.28 × 411.28
  4. Step 4: Simplify right side
    706x = 400,701.88
  5. Step 5: Solve for x
    x = 400,701.88/706
  6. Step 6: Final answer
    x = 567.57

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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.