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Finding the Fourth Proportional to 459.90, 682.74 and 440.46

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Solution

The fourth proportional to 459.90, 682.74 and 440.46 is: 653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.90 : 682.74 = 440.46 : x
  2. Step 2: Convert to fraction form
    459.90/682.74 = 440.46/x
  3. Step 3: Cross multiply
    459.90x = 682.74 × 440.46
  4. Step 4: Simplify right side
    459.90x = 300,719.66
  5. Step 5: Solve for x
    x = 300,719.66/459.90
  6. Step 6: Final answer
    x = 653.88

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.