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Finding the Fourth Proportional to 460.90, 690.62 and 321.94

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Solution

The fourth proportional to 460.90, 690.62 and 321.94 is: 482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.90 : 690.62 = 321.94 : x
  2. Step 2: Convert to fraction form
    460.90/690.62 = 321.94/x
  3. Step 3: Cross multiply
    460.90x = 690.62 × 321.94
  4. Step 4: Simplify right side
    460.90x = 222,334.75
  5. Step 5: Solve for x
    x = 222,334.75/460.90
  6. Step 6: Final answer
    x = 482.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.