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Finding the Fourth Proportional to 934.37, 1,401.49 and 309.67

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Solution

The fourth proportional to 934.37, 1,401.49 and 309.67 is: 464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.37 : 1,401.49 = 309.67 : x
  2. Step 2: Convert to fraction form
    934.37/1,401.49 = 309.67/x
  3. Step 3: Cross multiply
    934.37x = 1,401.49 × 309.67
  4. Step 4: Simplify right side
    934.37x = 433,995.13
  5. Step 5: Solve for x
    x = 433,995.13/934.37
  6. Step 6: Final answer
    x = 464.48

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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.