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Finding the Fourth Proportional to 428.44, 592.02 and 341.80

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Solution

The fourth proportional to 428.44, 592.02 and 341.80 is: 472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.44 : 592.02 = 341.80 : x
  2. Step 2: Convert to fraction form
    428.44/592.02 = 341.80/x
  3. Step 3: Cross multiply
    428.44x = 592.02 × 341.80
  4. Step 4: Simplify right side
    428.44x = 202,352.44
  5. Step 5: Solve for x
    x = 202,352.44/428.44
  6. Step 6: Final answer
    x = 472.30

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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.