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Finding the Fourth Proportional to 698.82, 964.26 and 450.08

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Solution

The fourth proportional to 698.82, 964.26 and 450.08 is: 621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.82 : 964.26 = 450.08 : x
  2. Step 2: Convert to fraction form
    698.82/964.26 = 450.08/x
  3. Step 3: Cross multiply
    698.82x = 964.26 × 450.08
  4. Step 4: Simplify right side
    698.82x = 433,994.14
  5. Step 5: Solve for x
    x = 433,994.14/698.82
  6. Step 6: Final answer
    x = 621.04

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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.