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Finding the Fourth Proportional to 534.09, 800.37 and 351.84

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Solution

The fourth proportional to 534.09, 800.37 and 351.84 is: 527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 800.37 = 351.84 : x
  2. Step 2: Convert to fraction form
    534.09/800.37 = 351.84/x
  3. Step 3: Cross multiply
    534.09x = 800.37 × 351.84
  4. Step 4: Simplify right side
    534.09x = 281,602.18
  5. Step 5: Solve for x
    x = 281,602.18/534.09
  6. Step 6: Final answer
    x = 527.26

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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.