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Finding the Fourth Proportional to 437.07, 602.97 and 262.31

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Solution

The fourth proportional to 437.07, 602.97 and 262.31 is: 361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.07 : 602.97 = 262.31 : x
  2. Step 2: Convert to fraction form
    437.07/602.97 = 262.31/x
  3. Step 3: Cross multiply
    437.07x = 602.97 × 262.31
  4. Step 4: Simplify right side
    437.07x = 158,165.58
  5. Step 5: Solve for x
    x = 158,165.58/437.07
  6. Step 6: Final answer
    x = 361.88

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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.