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Finding the Fourth Proportional to 433.59, 650.56 and 228.34

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Solution

The fourth proportional to 433.59, 650.56 and 228.34 is: 342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.59 : 650.56 = 228.34 : x
  2. Step 2: Convert to fraction form
    433.59/650.56 = 228.34/x
  3. Step 3: Cross multiply
    433.59x = 650.56 × 228.34
  4. Step 4: Simplify right side
    433.59x = 148,548.87
  5. Step 5: Solve for x
    x = 148,548.87/433.59
  6. Step 6: Final answer
    x = 342.60

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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.