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Finding the Fourth Proportional to 648.30, 894.71 and 490.66

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Solution

The fourth proportional to 648.30, 894.71 and 490.66 is: 677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.30 : 894.71 = 490.66 : x
  2. Step 2: Convert to fraction form
    648.30/894.71 = 490.66/x
  3. Step 3: Cross multiply
    648.30x = 894.71 × 490.66
  4. Step 4: Simplify right side
    648.30x = 438,998.41
  5. Step 5: Solve for x
    x = 438,998.41/648.30
  6. Step 6: Final answer
    x = 677.15

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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.