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Finding the Fourth Proportional to 625.96, 937.11 and 365.16

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Solution

The fourth proportional to 625.96, 937.11 and 365.16 is: 546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.96 : 937.11 = 365.16 : x
  2. Step 2: Convert to fraction form
    625.96/937.11 = 365.16/x
  3. Step 3: Cross multiply
    625.96x = 937.11 × 365.16
  4. Step 4: Simplify right side
    625.96x = 342,195.09
  5. Step 5: Solve for x
    x = 342,195.09/625.96
  6. Step 6: Final answer
    x = 546.67

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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.