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Finding the Fourth Proportional to 460.52, 635.48 and 274.02

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Solution

The fourth proportional to 460.52, 635.48 and 274.02 is: 378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.52 : 635.48 = 274.02 : x
  2. Step 2: Convert to fraction form
    460.52/635.48 = 274.02/x
  3. Step 3: Cross multiply
    460.52x = 635.48 × 274.02
  4. Step 4: Simplify right side
    460.52x = 174,135.34
  5. Step 5: Solve for x
    x = 174,135.34/460.52
  6. Step 6: Final answer
    x = 378.13

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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.