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Finding the Fourth Proportional to 458.88, 687.41 and 381.00

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Solution

The fourth proportional to 458.88, 687.41 and 381.00 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 687.41 = 381.00 : x
  2. Step 2: Convert to fraction form
    458.88/687.41 = 381.00/x
  3. Step 3: Cross multiply
    458.88x = 687.41 × 381.00
  4. Step 4: Simplify right side
    458.88x = 261,905.31
  5. Step 5: Solve for x
    x = 261,905.31/458.88
  6. Step 6: Final answer
    x = 570.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.