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Finding the Fourth Proportional to 344.36, 515.90 and 228.46

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Solution

The fourth proportional to 344.36, 515.90 and 228.46 is: 342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.36 : 515.90 = 228.46 : x
  2. Step 2: Convert to fraction form
    344.36/515.90 = 228.46/x
  3. Step 3: Cross multiply
    344.36x = 515.90 × 228.46
  4. Step 4: Simplify right side
    344.36x = 117,862.51
  5. Step 5: Solve for x
    x = 117,862.51/344.36
  6. Step 6: Final answer
    x = 342.27

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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.