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Finding the Fourth Proportional to 648.82, 972.36 and 297.19

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Solution

The fourth proportional to 648.82, 972.36 and 297.19 is: 445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.82 : 972.36 = 297.19 : x
  2. Step 2: Convert to fraction form
    648.82/972.36 = 297.19/x
  3. Step 3: Cross multiply
    648.82x = 972.36 × 297.19
  4. Step 4: Simplify right side
    648.82x = 288,975.67
  5. Step 5: Solve for x
    x = 288,975.67/648.82
  6. Step 6: Final answer
    x = 445.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.