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Finding the Fourth Proportional to 437.31, 602.62 and 371.70

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Solution

The fourth proportional to 437.31, 602.62 and 371.70 is: 512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.31 : 602.62 = 371.70 : x
  2. Step 2: Convert to fraction form
    437.31/602.62 = 371.70/x
  3. Step 3: Cross multiply
    437.31x = 602.62 × 371.70
  4. Step 4: Simplify right side
    437.31x = 223,992.92
  5. Step 5: Solve for x
    x = 223,992.92/437.31
  6. Step 6: Final answer
    x = 512.21

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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.