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Finding the Fourth Proportional to 648.61, 894.83 and 383.09

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Solution

The fourth proportional to 648.61, 894.83 and 383.09 is: 528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.61 : 894.83 = 383.09 : x
  2. Step 2: Convert to fraction form
    648.61/894.83 = 383.09/x
  3. Step 3: Cross multiply
    648.61x = 894.83 × 383.09
  4. Step 4: Simplify right side
    648.61x = 342,794.04
  5. Step 5: Solve for x
    x = 342,794.04/648.61
  6. Step 6: Final answer
    x = 528.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.