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Finding the Fourth Proportional to 468.14, 646 and 271.64

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Solution

The fourth proportional to 468.14, 646 and 271.64 is: 374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 646 = 271.64 : x
  2. Step 2: Convert to fraction form
    468.14/646 = 271.64/x
  3. Step 3: Cross multiply
    468.14x = 646 × 271.64
  4. Step 4: Simplify right side
    468.14x = 175,479.44
  5. Step 5: Solve for x
    x = 175,479.44/468.14
  6. Step 6: Final answer
    x = 374.84

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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.