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Finding the Fourth Proportional to 434.23, 650.53 and 228.09

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Solution

The fourth proportional to 434.23, 650.53 and 228.09 is: 341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.23 : 650.53 = 228.09 : x
  2. Step 2: Convert to fraction form
    434.23/650.53 = 228.09/x
  3. Step 3: Cross multiply
    434.23x = 650.53 × 228.09
  4. Step 4: Simplify right side
    434.23x = 148,379.39
  5. Step 5: Solve for x
    x = 148,379.39/434.23
  6. Step 6: Final answer
    x = 341.71

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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.