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Finding the Fourth Proportional to 370.84, 511.82 and 240.23

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Solution

The fourth proportional to 370.84, 511.82 and 240.23 is: 331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.84 : 511.82 = 240.23 : x
  2. Step 2: Convert to fraction form
    370.84/511.82 = 240.23/x
  3. Step 3: Cross multiply
    370.84x = 511.82 × 240.23
  4. Step 4: Simplify right side
    370.84x = 122,954.52
  5. Step 5: Solve for x
    x = 122,954.52/370.84
  6. Step 6: Final answer
    x = 331.56

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