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Finding the Fourth Proportional to 536.35, 803.31 and 420.61

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Solution

The fourth proportional to 536.35, 803.31 and 420.61 is: 629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.35 : 803.31 = 420.61 : x
  2. Step 2: Convert to fraction form
    536.35/803.31 = 420.61/x
  3. Step 3: Cross multiply
    536.35x = 803.31 × 420.61
  4. Step 4: Simplify right side
    536.35x = 337,880.22
  5. Step 5: Solve for x
    x = 337,880.22/536.35
  6. Step 6: Final answer
    x = 629.96

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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.