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Finding the Fourth Proportional to 536.88, 805.20 and 382.33

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Solution

The fourth proportional to 536.88, 805.20 and 382.33 is: 573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.88 : 805.20 = 382.33 : x
  2. Step 2: Convert to fraction form
    536.88/805.20 = 382.33/x
  3. Step 3: Cross multiply
    536.88x = 805.20 × 382.33
  4. Step 4: Simplify right side
    536.88x = 307,852.12
  5. Step 5: Solve for x
    x = 307,852.12/536.88
  6. Step 6: Final answer
    x = 573.41

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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.