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Finding the Fourth Proportional to 536.29, 803.44 and 450.17

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Solution

The fourth proportional to 536.29, 803.44 and 450.17 is: 674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.29 : 803.44 = 450.17 : x
  2. Step 2: Convert to fraction form
    536.29/803.44 = 450.17/x
  3. Step 3: Cross multiply
    536.29x = 803.44 × 450.17
  4. Step 4: Simplify right side
    536.29x = 361,686.13
  5. Step 5: Solve for x
    x = 361,686.13/536.29
  6. Step 6: Final answer
    x = 674.43

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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.