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Finding the Fourth Proportional to 460.64, 635.61 and 274.06

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Solution

The fourth proportional to 460.64, 635.61 and 274.06 is: 378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.64 : 635.61 = 274.06 : x
  2. Step 2: Convert to fraction form
    460.64/635.61 = 274.06/x
  3. Step 3: Cross multiply
    460.64x = 635.61 × 274.06
  4. Step 4: Simplify right side
    460.64x = 174,195.28
  5. Step 5: Solve for x
    x = 174,195.28/460.64
  6. Step 6: Final answer
    x = 378.16

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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.