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Finding the Fourth Proportional to 1,468, 2,202 and 442

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Solution

The fourth proportional to 1,468, 2,202 and 442 is: 663

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468 : 2,202 = 442 : x
  2. Step 2: Convert to fraction form
    1,468/2,202 = 442/x
  3. Step 3: Cross multiply
    1,468x = 2,202 × 442
  4. Step 4: Simplify right side
    1,468x = 973,284
  5. Step 5: Solve for x
    x = 973,284/1,468
  6. Step 6: Final answer
    x = 663

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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.