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Finding the Fourth Proportional to 648.07, 970.31 and 416.38

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Solution

The fourth proportional to 648.07, 970.31 and 416.38 is: 623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.07 : 970.31 = 416.38 : x
  2. Step 2: Convert to fraction form
    648.07/970.31 = 416.38/x
  3. Step 3: Cross multiply
    648.07x = 970.31 × 416.38
  4. Step 4: Simplify right side
    648.07x = 404,022.01
  5. Step 5: Solve for x
    x = 404,022.01/648.07
  6. Step 6: Final answer
    x = 623.42

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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.