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Finding the Fourth Proportional to 648.24, 894.24 and 427.20

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Solution

The fourth proportional to 648.24, 894.24 and 427.20 is: 589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.24 : 894.24 = 427.20 : x
  2. Step 2: Convert to fraction form
    648.24/894.24 = 427.20/x
  3. Step 3: Cross multiply
    648.24x = 894.24 × 427.20
  4. Step 4: Simplify right side
    648.24x = 382,019.33
  5. Step 5: Solve for x
    x = 382,019.33/648.24
  6. Step 6: Final answer
    x = 589.32

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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.