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Finding the Fourth Proportional to 468, 646 and 284

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Solution

The fourth proportional to 468, 646 and 284 is: 392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468 : 646 = 284 : x
  2. Step 2: Convert to fraction form
    468/646 = 284/x
  3. Step 3: Cross multiply
    468x = 646 × 284
  4. Step 4: Simplify right side
    468x = 183,464
  5. Step 5: Solve for x
    x = 183,464/468
  6. Step 6: Final answer
    x = 392.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.