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Finding the Fourth Proportional to 899.84, 1,349.42 and 351.97

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Solution

The fourth proportional to 899.84, 1,349.42 and 351.97 is: 527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.84 : 1,349.42 = 351.97 : x
  2. Step 2: Convert to fraction form
    899.84/1,349.42 = 351.97/x
  3. Step 3: Cross multiply
    899.84x = 1,349.42 × 351.97
  4. Step 4: Simplify right side
    899.84x = 474,955.36
  5. Step 5: Solve for x
    x = 474,955.36/899.84
  6. Step 6: Final answer
    x = 527.82

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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.