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Finding the Fourth Proportional to 900, 1,350 and 216

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Solution

The fourth proportional to 900, 1,350 and 216 is: 324

Step by Step Solution

  1. Step 1: Write the proportion equation
    900 : 1,350 = 216 : x
  2. Step 2: Convert to fraction form
    900/1,350 = 216/x
  3. Step 3: Cross multiply
    900x = 1,350 × 216
  4. Step 4: Simplify right side
    900x = 291,600
  5. Step 5: Solve for x
    x = 291,600/900
  6. Step 6: Final answer
    x = 324

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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.