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Finding the Fourth Proportional to 433.54, 650.36 and 125.40

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Solution

The fourth proportional to 433.54, 650.36 and 125.40 is: 188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.54 : 650.36 = 125.40 : x
  2. Step 2: Convert to fraction form
    433.54/650.36 = 125.40/x
  3. Step 3: Cross multiply
    433.54x = 650.36 × 125.40
  4. Step 4: Simplify right side
    433.54x = 81,554.24
  5. Step 5: Solve for x
    x = 81,554.24/433.54
  6. Step 6: Final answer
    x = 188.11

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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.