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Finding the Fourth Proportional to 536.33, 804.49 and 353.84

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Solution

The fourth proportional to 536.33, 804.49 and 353.84 is: 530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.33 : 804.49 = 353.84 : x
  2. Step 2: Convert to fraction form
    536.33/804.49 = 353.84/x
  3. Step 3: Cross multiply
    536.33x = 804.49 × 353.84
  4. Step 4: Simplify right side
    536.33x = 284,661.87
  5. Step 5: Solve for x
    x = 284,661.87/536.33
  6. Step 6: Final answer
    x = 530.76

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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.