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Finding the Fourth Proportional to 538.66, 744.36 and 440.38

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Solution

The fourth proportional to 538.66, 744.36 and 440.38 is: 608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.66 : 744.36 = 440.38 : x
  2. Step 2: Convert to fraction form
    538.66/744.36 = 440.38/x
  3. Step 3: Cross multiply
    538.66x = 744.36 × 440.38
  4. Step 4: Simplify right side
    538.66x = 327,801.26
  5. Step 5: Solve for x
    x = 327,801.26/538.66
  6. Step 6: Final answer
    x = 608.55

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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.