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Finding the Fourth Proportional to 648.30, 894.27 and 427.17

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Solution

The fourth proportional to 648.30, 894.27 and 427.17 is: 589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.30 : 894.27 = 427.17 : x
  2. Step 2: Convert to fraction form
    648.30/894.27 = 427.17/x
  3. Step 3: Cross multiply
    648.30x = 894.27 × 427.17
  4. Step 4: Simplify right side
    648.30x = 382,005.32
  5. Step 5: Solve for x
    x = 382,005.32/648.30
  6. Step 6: Final answer
    x = 589.24

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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.