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Finding the Fourth Proportional to 313.76, 432.74 and 276.96

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Solution

The fourth proportional to 313.76, 432.74 and 276.96 is: 381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 432.74 = 276.96 : x
  2. Step 2: Convert to fraction form
    313.76/432.74 = 276.96/x
  3. Step 3: Cross multiply
    313.76x = 432.74 × 276.96
  4. Step 4: Simplify right side
    313.76x = 119,851.67
  5. Step 5: Solve for x
    x = 119,851.67/313.76
  6. Step 6: Final answer
    x = 381.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.