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Finding the Fourth Proportional to 536.13, 803.43 and 412.26

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Solution

The fourth proportional to 536.13, 803.43 and 412.26 is: 617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.13 : 803.43 = 412.26 : x
  2. Step 2: Convert to fraction form
    536.13/803.43 = 412.26/x
  3. Step 3: Cross multiply
    536.13x = 803.43 × 412.26
  4. Step 4: Simplify right side
    536.13x = 331,226.40
  5. Step 5: Solve for x
    x = 331,226.40/536.13
  6. Step 6: Final answer
    x = 617.81

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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.