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Finding the Fourth Proportional to 896.36, 1,344.54 and 383

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Solution

The fourth proportional to 896.36, 1,344.54 and 383 is: 574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.36 : 1,344.54 = 383 : x
  2. Step 2: Convert to fraction form
    896.36/1,344.54 = 383/x
  3. Step 3: Cross multiply
    896.36x = 1,344.54 × 383
  4. Step 4: Simplify right side
    896.36x = 514,958.82
  5. Step 5: Solve for x
    x = 514,958.82/896.36
  6. Step 6: Final answer
    x = 574.50

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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.