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Finding the Fourth Proportional to 896, 1,344 and 288

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Solution

The fourth proportional to 896, 1,344 and 288 is: 432

Step by Step Solution

  1. Step 1: Write the proportion equation
    896 : 1,344 = 288 : x
  2. Step 2: Convert to fraction form
    896/1,344 = 288/x
  3. Step 3: Cross multiply
    896x = 1,344 × 288
  4. Step 4: Simplify right side
    896x = 387,072
  5. Step 5: Solve for x
    x = 387,072/896
  6. Step 6: Final answer
    x = 432

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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.