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Finding the Fourth Proportional to 428.00, 590.63 and 262.24

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Solution

The fourth proportional to 428.00, 590.63 and 262.24 is: 361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.00 : 590.63 = 262.24 : x
  2. Step 2: Convert to fraction form
    428.00/590.63 = 262.24/x
  3. Step 3: Cross multiply
    428.00x = 590.63 × 262.24
  4. Step 4: Simplify right side
    428.00x = 154,884.02
  5. Step 5: Solve for x
    x = 154,884.02/428.00
  6. Step 6: Final answer
    x = 361.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.