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Finding the Fourth Proportional to 307.35, 458.89 and 276.63

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Solution

The fourth proportional to 307.35, 458.89 and 276.63 is: 413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.35 : 458.89 = 276.63 : x
  2. Step 2: Convert to fraction form
    307.35/458.89 = 276.63/x
  3. Step 3: Cross multiply
    307.35x = 458.89 × 276.63
  4. Step 4: Simplify right side
    307.35x = 126,942.74
  5. Step 5: Solve for x
    x = 126,942.74/307.35
  6. Step 6: Final answer
    x = 413.02

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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.