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Finding the Fourth Proportional to 316.64, 436.01 and 274.28

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Solution

The fourth proportional to 316.64, 436.01 and 274.28 is: 377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.64 : 436.01 = 274.28 : x
  2. Step 2: Convert to fraction form
    316.64/436.01 = 274.28/x
  3. Step 3: Cross multiply
    316.64x = 436.01 × 274.28
  4. Step 4: Simplify right side
    316.64x = 119,585.27
  5. Step 5: Solve for x
    x = 119,585.27/316.64
  6. Step 6: Final answer
    x = 377.68

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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.