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Finding the Fourth Proportional to 380.18, 524.23 and 240.14

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Solution

The fourth proportional to 380.18, 524.23 and 240.14 is: 331.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.18 : 524.23 = 240.14 : x
  2. Step 2: Convert to fraction form
    380.18/524.23 = 240.14/x
  3. Step 3: Cross multiply
    380.18x = 524.23 × 240.14
  4. Step 4: Simplify right side
    380.18x = 125,889.30
  5. Step 5: Solve for x
    x = 125,889.30/380.18
  6. Step 6: Final answer
    x = 331.13

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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.