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Finding the Fourth Proportional to 380.47, 524.60 and 232.98

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Solution

The fourth proportional to 380.47, 524.60 and 232.98 is: 321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.47 : 524.60 = 232.98 : x
  2. Step 2: Convert to fraction form
    380.47/524.60 = 232.98/x
  3. Step 3: Cross multiply
    380.47x = 524.60 × 232.98
  4. Step 4: Simplify right side
    380.47x = 122,219.70
  5. Step 5: Solve for x
    x = 122,219.70/380.47
  6. Step 6: Final answer
    x = 321.23

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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.