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Finding the Fourth Proportional to 440.53, 608.06 and 274.64

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Solution

The fourth proportional to 440.53, 608.06 and 274.64 is: 379.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.53 : 608.06 = 274.64 : x
  2. Step 2: Convert to fraction form
    440.53/608.06 = 274.64/x
  3. Step 3: Cross multiply
    440.53x = 608.06 × 274.64
  4. Step 4: Simplify right side
    440.53x = 166,995.24
  5. Step 5: Solve for x
    x = 166,995.24/440.53
  6. Step 6: Final answer
    x = 379.08

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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.