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Finding the Fourth Proportional to 306.76, 457.74 and 276.12

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Solution

The fourth proportional to 306.76, 457.74 and 276.12 is: 412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.76 : 457.74 = 276.12 : x
  2. Step 2: Convert to fraction form
    306.76/457.74 = 276.12/x
  3. Step 3: Cross multiply
    306.76x = 457.74 × 276.12
  4. Step 4: Simplify right side
    306.76x = 126,391.17
  5. Step 5: Solve for x
    x = 126,391.17/306.76
  6. Step 6: Final answer
    x = 412.02

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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.