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Finding the Fourth Proportional to 648.10, 894.42 and 386.08

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Solution

The fourth proportional to 648.10, 894.42 and 386.08 is: 532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.10 : 894.42 = 386.08 : x
  2. Step 2: Convert to fraction form
    648.10/894.42 = 386.08/x
  3. Step 3: Cross multiply
    648.10x = 894.42 × 386.08
  4. Step 4: Simplify right side
    648.10x = 345,317.67
  5. Step 5: Solve for x
    x = 345,317.67/648.10
  6. Step 6: Final answer
    x = 532.82

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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.