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Finding the Fourth Proportional to 648.04, 894.60 and 490.70

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Solution

The fourth proportional to 648.04, 894.60 and 490.70 is: 677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.04 : 894.60 = 490.70 : x
  2. Step 2: Convert to fraction form
    648.04/894.60 = 490.70/x
  3. Step 3: Cross multiply
    648.04x = 894.60 × 490.70
  4. Step 4: Simplify right side
    648.04x = 438,980.22
  5. Step 5: Solve for x
    x = 438,980.22/648.04
  6. Step 6: Final answer
    x = 677.40

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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.