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Finding the Fourth Proportional to 598.09, 895.31 and 443.63

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Solution

The fourth proportional to 598.09, 895.31 and 443.63 is: 664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.09 : 895.31 = 443.63 : x
  2. Step 2: Convert to fraction form
    598.09/895.31 = 443.63/x
  3. Step 3: Cross multiply
    598.09x = 895.31 × 443.63
  4. Step 4: Simplify right side
    598.09x = 397,186.38
  5. Step 5: Solve for x
    x = 397,186.38/598.09
  6. Step 6: Final answer
    x = 664.09

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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.