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Finding the Fourth Proportional to 428.49, 591.03 and 297.41

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Solution

The fourth proportional to 428.49, 591.03 and 297.41 is: 410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.49 : 591.03 = 297.41 : x
  2. Step 2: Convert to fraction form
    428.49/591.03 = 297.41/x
  3. Step 3: Cross multiply
    428.49x = 591.03 × 297.41
  4. Step 4: Simplify right side
    428.49x = 175,775.28
  5. Step 5: Solve for x
    x = 175,775.28/428.49
  6. Step 6: Final answer
    x = 410.22

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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.