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Finding the Fourth Proportional to 316.44, 437.04 and 274.77

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Solution

The fourth proportional to 316.44, 437.04 and 274.77 is: 379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.44 : 437.04 = 274.77 : x
  2. Step 2: Convert to fraction form
    316.44/437.04 = 274.77/x
  3. Step 3: Cross multiply
    316.44x = 437.04 × 274.77
  4. Step 4: Simplify right side
    316.44x = 120,085.48
  5. Step 5: Solve for x
    x = 120,085.48/316.44
  6. Step 6: Final answer
    x = 379.49

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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.