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Finding the Fourth Proportional to 648.84, 970.84 and 388.99

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Solution

The fourth proportional to 648.84, 970.84 and 388.99 is: 582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.84 : 970.84 = 388.99 : x
  2. Step 2: Convert to fraction form
    648.84/970.84 = 388.99/x
  3. Step 3: Cross multiply
    648.84x = 970.84 × 388.99
  4. Step 4: Simplify right side
    648.84x = 377,647.05
  5. Step 5: Solve for x
    x = 377,647.05/648.84
  6. Step 6: Final answer
    x = 582.03

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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.