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Finding the Fourth Proportional to 1,216, 1,824 and 304

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Solution

The fourth proportional to 1,216, 1,824 and 304 is: 456

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216 : 1,824 = 304 : x
  2. Step 2: Convert to fraction form
    1,216/1,824 = 304/x
  3. Step 3: Cross multiply
    1,216x = 1,824 × 304
  4. Step 4: Simplify right side
    1,216x = 554,496
  5. Step 5: Solve for x
    x = 554,496/1,216
  6. Step 6: Final answer
    x = 456

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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.