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Finding the Fourth Proportional to 648.55, 894.62 and 449.07

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Solution

The fourth proportional to 648.55, 894.62 and 449.07 is: 619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.55 : 894.62 = 449.07 : x
  2. Step 2: Convert to fraction form
    648.55/894.62 = 449.07/x
  3. Step 3: Cross multiply
    648.55x = 894.62 × 449.07
  4. Step 4: Simplify right side
    648.55x = 401,747.00
  5. Step 5: Solve for x
    x = 401,747.00/648.55
  6. Step 6: Final answer
    x = 619.45

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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.