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Finding the Fourth Proportional to 380.10, 524.40 and 301.41

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Solution

The fourth proportional to 380.10, 524.40 and 301.41 is: 415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 524.40 = 301.41 : x
  2. Step 2: Convert to fraction form
    380.10/524.40 = 301.41/x
  3. Step 3: Cross multiply
    380.10x = 524.40 × 301.41
  4. Step 4: Simplify right side
    380.10x = 158,059.40
  5. Step 5: Solve for x
    x = 158,059.40/380.10
  6. Step 6: Final answer
    x = 415.84

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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.