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Finding the Fourth Proportional to 314.89, 472.37 and 98.41

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Solution

The fourth proportional to 314.89, 472.37 and 98.41 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.89 : 472.37 = 98.41 : x
  2. Step 2: Convert to fraction form
    314.89/472.37 = 98.41/x
  3. Step 3: Cross multiply
    314.89x = 472.37 × 98.41
  4. Step 4: Simplify right side
    314.89x = 46,485.44
  5. Step 5: Solve for x
    x = 46,485.44/314.89
  6. Step 6: Final answer
    x = 147.62

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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.