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Finding the Fourth Proportional to 307.74, 459.81 and 296.97

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Solution

The fourth proportional to 307.74, 459.81 and 296.97 is: 443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.74 : 459.81 = 296.97 : x
  2. Step 2: Convert to fraction form
    307.74/459.81 = 296.97/x
  3. Step 3: Cross multiply
    307.74x = 459.81 × 296.97
  4. Step 4: Simplify right side
    307.74x = 136,550.45
  5. Step 5: Solve for x
    x = 136,550.45/307.74
  6. Step 6: Final answer
    x = 443.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.