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Finding the Fourth Proportional to 706.82, 975.38 and 411.90

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Solution

The fourth proportional to 706.82, 975.38 and 411.90 is: 568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.82 : 975.38 = 411.90 : x
  2. Step 2: Convert to fraction form
    706.82/975.38 = 411.90/x
  3. Step 3: Cross multiply
    706.82x = 975.38 × 411.90
  4. Step 4: Simplify right side
    706.82x = 401,759.02
  5. Step 5: Solve for x
    x = 401,759.02/706.82
  6. Step 6: Final answer
    x = 568.40

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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.