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Finding the Fourth Proportional to 494.53, 741.93 and 440.80

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Solution

The fourth proportional to 494.53, 741.93 and 440.80 is: 661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.53 : 741.93 = 440.80 : x
  2. Step 2: Convert to fraction form
    494.53/741.93 = 440.80/x
  3. Step 3: Cross multiply
    494.53x = 741.93 × 440.80
  4. Step 4: Simplify right side
    494.53x = 327,042.74
  5. Step 5: Solve for x
    x = 327,042.74/494.53
  6. Step 6: Final answer
    x = 661.32

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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.