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Finding the Fourth Proportional to 460.71, 635.68 and 274.14

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Solution

The fourth proportional to 460.71, 635.68 and 274.14 is: 378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.71 : 635.68 = 274.14 : x
  2. Step 2: Convert to fraction form
    460.71/635.68 = 274.14/x
  3. Step 3: Cross multiply
    460.71x = 635.68 × 274.14
  4. Step 4: Simplify right side
    460.71x = 174,260.77
  5. Step 5: Solve for x
    x = 174,260.77/460.71
  6. Step 6: Final answer
    x = 378.25

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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.