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Finding the Fourth Proportional to 648.43, 894.65 and 386.35

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Solution

The fourth proportional to 648.43, 894.65 and 386.35 is: 533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.43 : 894.65 = 386.35 : x
  2. Step 2: Convert to fraction form
    648.43/894.65 = 386.35/x
  3. Step 3: Cross multiply
    648.43x = 894.65 × 386.35
  4. Step 4: Simplify right side
    648.43x = 345,648.03
  5. Step 5: Solve for x
    x = 345,648.03/648.43
  6. Step 6: Final answer
    x = 533.05

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Why These Related Problems?

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