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Finding the Fourth Proportional to 428.01, 590.61 and 262.23

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Solution

The fourth proportional to 428.01, 590.61 and 262.23 is: 361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.01 : 590.61 = 262.23 : x
  2. Step 2: Convert to fraction form
    428.01/590.61 = 262.23/x
  3. Step 3: Cross multiply
    428.01x = 590.61 × 262.23
  4. Step 4: Simplify right side
    428.01x = 154,875.66
  5. Step 5: Solve for x
    x = 154,875.66/428.01
  6. Step 6: Final answer
    x = 361.85

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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.