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Finding the Fourth Proportional to 307.64, 460.92 and 274.16

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Solution

The fourth proportional to 307.64, 460.92 and 274.16 is: 410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.64 : 460.92 = 274.16 : x
  2. Step 2: Convert to fraction form
    307.64/460.92 = 274.16/x
  3. Step 3: Cross multiply
    307.64x = 460.92 × 274.16
  4. Step 4: Simplify right side
    307.64x = 126,365.83
  5. Step 5: Solve for x
    x = 126,365.83/307.64
  6. Step 6: Final answer
    x = 410.76

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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.