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Finding the Fourth Proportional to 458.64, 687.86 and 382.09

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Solution

The fourth proportional to 458.64, 687.86 and 382.09 is: 573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.64 : 687.86 = 382.09 : x
  2. Step 2: Convert to fraction form
    458.64/687.86 = 382.09/x
  3. Step 3: Cross multiply
    458.64x = 687.86 × 382.09
  4. Step 4: Simplify right side
    458.64x = 262,824.43
  5. Step 5: Solve for x
    x = 262,824.43/458.64
  6. Step 6: Final answer
    x = 573.05

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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.