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Finding the Fourth Proportional to 380.03, 524.34 and 240.14

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Solution

The fourth proportional to 380.03, 524.34 and 240.14 is: 331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.03 : 524.34 = 240.14 : x
  2. Step 2: Convert to fraction form
    380.03/524.34 = 240.14/x
  3. Step 3: Cross multiply
    380.03x = 524.34 × 240.14
  4. Step 4: Simplify right side
    380.03x = 125,916.32
  5. Step 5: Solve for x
    x = 125,916.32/380.03
  6. Step 6: Final answer
    x = 331.34

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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.