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Finding the Fourth Proportional to 350.41, 525.89 and 228.64

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Solution

The fourth proportional to 350.41, 525.89 and 228.64 is: 343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.41 : 525.89 = 228.64 : x
  2. Step 2: Convert to fraction form
    350.41/525.89 = 228.64/x
  3. Step 3: Cross multiply
    350.41x = 525.89 × 228.64
  4. Step 4: Simplify right side
    350.41x = 120,238.35
  5. Step 5: Solve for x
    x = 120,238.35/350.41
  6. Step 6: Final answer
    x = 343.14

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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.