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Finding the Fourth Proportional to 460.75, 637.04 and 440.35

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Solution

The fourth proportional to 460.75, 637.04 and 440.35 is: 608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.75 : 637.04 = 440.35 : x
  2. Step 2: Convert to fraction form
    460.75/637.04 = 440.35/x
  3. Step 3: Cross multiply
    460.75x = 637.04 × 440.35
  4. Step 4: Simplify right side
    460.75x = 280,520.56
  5. Step 5: Solve for x
    x = 280,520.56/460.75
  6. Step 6: Final answer
    x = 608.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.