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Finding the Fourth Proportional to 460.86, 635.37 and 313.24

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Solution

The fourth proportional to 460.86, 635.37 and 313.24 is: 431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.86 : 635.37 = 313.24 : x
  2. Step 2: Convert to fraction form
    460.86/635.37 = 313.24/x
  3. Step 3: Cross multiply
    460.86x = 635.37 × 313.24
  4. Step 4: Simplify right side
    460.86x = 199,018.56
  5. Step 5: Solve for x
    x = 199,018.56/460.86
  6. Step 6: Final answer
    x = 431.84

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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.