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Finding the Fourth Proportional to 428.22, 590.98 and 262.52

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Solution

The fourth proportional to 428.22, 590.98 and 262.52 is: 362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.22 : 590.98 = 262.52 : x
  2. Step 2: Convert to fraction form
    428.22/590.98 = 262.52/x
  3. Step 3: Cross multiply
    428.22x = 590.98 × 262.52
  4. Step 4: Simplify right side
    428.22x = 155,146.49
  5. Step 5: Solve for x
    x = 155,146.49/428.22
  6. Step 6: Final answer
    x = 362.31

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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.