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Finding the Fourth Proportional to 536.68, 804.30 and 478.84

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Solution

The fourth proportional to 536.68, 804.30 and 478.84 is: 717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 804.30 = 478.84 : x
  2. Step 2: Convert to fraction form
    536.68/804.30 = 478.84/x
  3. Step 3: Cross multiply
    536.68x = 804.30 × 478.84
  4. Step 4: Simplify right side
    536.68x = 385,131.01
  5. Step 5: Solve for x
    x = 385,131.01/536.68
  6. Step 6: Final answer
    x = 717.62

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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.