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Finding the Fourth Proportional to 646.65, 970.09 and 281.44

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Solution

The fourth proportional to 646.65, 970.09 and 281.44 is: 422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.65 : 970.09 = 281.44 : x
  2. Step 2: Convert to fraction form
    646.65/970.09 = 281.44/x
  3. Step 3: Cross multiply
    646.65x = 970.09 × 281.44
  4. Step 4: Simplify right side
    646.65x = 273,015.87
  5. Step 5: Solve for x
    x = 273,015.87/646.65
  6. Step 6: Final answer
    x = 422.20

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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.