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Finding the Fourth Proportional to 468.47, 701.43 and 338.60

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Solution

The fourth proportional to 468.47, 701.43 and 338.60 is: 506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.47 : 701.43 = 338.60 : x
  2. Step 2: Convert to fraction form
    468.47/701.43 = 338.60/x
  3. Step 3: Cross multiply
    468.47x = 701.43 × 338.60
  4. Step 4: Simplify right side
    468.47x = 237,504.20
  5. Step 5: Solve for x
    x = 237,504.20/468.47
  6. Step 6: Final answer
    x = 506.98

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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.