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Finding the Fourth Proportional to 420.33, 627.41 and 371.07

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Solution

The fourth proportional to 420.33, 627.41 and 371.07 is: 553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.33 : 627.41 = 371.07 : x
  2. Step 2: Convert to fraction form
    420.33/627.41 = 371.07/x
  3. Step 3: Cross multiply
    420.33x = 627.41 × 371.07
  4. Step 4: Simplify right side
    420.33x = 232,811.17
  5. Step 5: Solve for x
    x = 232,811.17/420.33
  6. Step 6: Final answer
    x = 553.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.