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Finding the Fourth Proportional to 270.40, 403.28 and 241.60

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Solution

The fourth proportional to 270.40, 403.28 and 241.60 is: 360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.40 : 403.28 = 241.60 : x
  2. Step 2: Convert to fraction form
    270.40/403.28 = 241.60/x
  3. Step 3: Cross multiply
    270.40x = 403.28 × 241.60
  4. Step 4: Simplify right side
    270.40x = 97,432.45
  5. Step 5: Solve for x
    x = 97,432.45/270.40
  6. Step 6: Final answer
    x = 360.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.