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Finding the Fourth Proportional to 460.22, 635.04 and 313.07

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Solution

The fourth proportional to 460.22, 635.04 and 313.07 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.22 : 635.04 = 313.07 : x
  2. Step 2: Convert to fraction form
    460.22/635.04 = 313.07/x
  3. Step 3: Cross multiply
    460.22x = 635.04 × 313.07
  4. Step 4: Simplify right side
    460.22x = 198,808.80
  5. Step 5: Solve for x
    x = 198,808.80/460.22
  6. Step 6: Final answer
    x = 431.99

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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.