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Finding the Fourth Proportional to 346.44, 518.85 and 269.49

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Solution

The fourth proportional to 346.44, 518.85 and 269.49 is: 403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.44 : 518.85 = 269.49 : x
  2. Step 2: Convert to fraction form
    346.44/518.85 = 269.49/x
  3. Step 3: Cross multiply
    346.44x = 518.85 × 269.49
  4. Step 4: Simplify right side
    346.44x = 139,824.89
  5. Step 5: Solve for x
    x = 139,824.89/346.44
  6. Step 6: Final answer
    x = 403.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.