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Finding the Fourth Proportional to 697.08, 961.14 and 448.41

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Solution

The fourth proportional to 697.08, 961.14 and 448.41 is: 618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 961.14 = 448.41 : x
  2. Step 2: Convert to fraction form
    697.08/961.14 = 448.41/x
  3. Step 3: Cross multiply
    697.08x = 961.14 × 448.41
  4. Step 4: Simplify right side
    697.08x = 430,990.07
  5. Step 5: Solve for x
    x = 430,990.07/697.08
  6. Step 6: Final answer
    x = 618.28

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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.