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Finding the Fourth Proportional to 307.20, 459.46 and 274.96

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Solution

The fourth proportional to 307.20, 459.46 and 274.96 is: 411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.20 : 459.46 = 274.96 : x
  2. Step 2: Convert to fraction form
    307.20/459.46 = 274.96/x
  3. Step 3: Cross multiply
    307.20x = 459.46 × 274.96
  4. Step 4: Simplify right side
    307.20x = 126,333.12
  5. Step 5: Solve for x
    x = 126,333.12/307.20
  6. Step 6: Final answer
    x = 411.24

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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.