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Finding the Fourth Proportional to 896.29, 1,343.47 and 376.58

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Solution

The fourth proportional to 896.29, 1,343.47 and 376.58 is: 564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.29 : 1,343.47 = 376.58 : x
  2. Step 2: Convert to fraction form
    896.29/1,343.47 = 376.58/x
  3. Step 3: Cross multiply
    896.29x = 1,343.47 × 376.58
  4. Step 4: Simplify right side
    896.29x = 505,915.33
  5. Step 5: Solve for x
    x = 505,915.33/896.29
  6. Step 6: Final answer
    x = 564.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.