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Finding the Fourth Proportional to 307.29, 460.70 and 294.67

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Solution

The fourth proportional to 307.29, 460.70 and 294.67 is: 441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.29 : 460.70 = 294.67 : x
  2. Step 2: Convert to fraction form
    307.29/460.70 = 294.67/x
  3. Step 3: Cross multiply
    307.29x = 460.70 × 294.67
  4. Step 4: Simplify right side
    307.29x = 135,754.47
  5. Step 5: Solve for x
    x = 135,754.47/307.29
  6. Step 6: Final answer
    x = 441.78

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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.