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Finding the Fourth Proportional to 434.30, 651.69 and 228.78

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Solution

The fourth proportional to 434.30, 651.69 and 228.78 is: 343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.30 : 651.69 = 228.78 : x
  2. Step 2: Convert to fraction form
    434.30/651.69 = 228.78/x
  3. Step 3: Cross multiply
    434.30x = 651.69 × 228.78
  4. Step 4: Simplify right side
    434.30x = 149,093.64
  5. Step 5: Solve for x
    x = 149,093.64/434.30
  6. Step 6: Final answer
    x = 343.30

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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.