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Finding the Fourth Proportional to 648.23, 894.92 and 427.70

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Solution

The fourth proportional to 648.23, 894.92 and 427.70 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.23 : 894.92 = 427.70 : x
  2. Step 2: Convert to fraction form
    648.23/894.92 = 427.70/x
  3. Step 3: Cross multiply
    648.23x = 894.92 × 427.70
  4. Step 4: Simplify right side
    648.23x = 382,757.38
  5. Step 5: Solve for x
    x = 382,757.38/648.23
  6. Step 6: Final answer
    x = 590.47

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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.