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Finding the Fourth Proportional to 648.65, 972.81 and 283.37

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Solution

The fourth proportional to 648.65, 972.81 and 283.37 is: 424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.65 : 972.81 = 283.37 : x
  2. Step 2: Convert to fraction form
    648.65/972.81 = 283.37/x
  3. Step 3: Cross multiply
    648.65x = 972.81 × 283.37
  4. Step 4: Simplify right side
    648.65x = 275,660.31
  5. Step 5: Solve for x
    x = 275,660.31/648.65
  6. Step 6: Final answer
    x = 424.97

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