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Finding the Fourth Proportional to 460.38, 635.95 and 427.58

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Solution

The fourth proportional to 460.38, 635.95 and 427.58 is: 590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.38 : 635.95 = 427.58 : x
  2. Step 2: Convert to fraction form
    460.38/635.95 = 427.58/x
  3. Step 3: Cross multiply
    460.38x = 635.95 × 427.58
  4. Step 4: Simplify right side
    460.38x = 271,919.24
  5. Step 5: Solve for x
    x = 271,919.24/460.38
  6. Step 6: Final answer
    x = 590.64

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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.