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Finding the Fourth Proportional to 647.26, 970.59 and 208.43

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Solution

The fourth proportional to 647.26, 970.59 and 208.43 is: 312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.26 : 970.59 = 208.43 : x
  2. Step 2: Convert to fraction form
    647.26/970.59 = 208.43/x
  3. Step 3: Cross multiply
    647.26x = 970.59 × 208.43
  4. Step 4: Simplify right side
    647.26x = 202,295.91
  5. Step 5: Solve for x
    x = 202,295.91/647.26
  6. Step 6: Final answer
    x = 312.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.