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Finding the Fourth Proportional to 459.24, 687.31 and 382.35

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Solution

The fourth proportional to 459.24, 687.31 and 382.35 is: 572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 687.31 = 382.35 : x
  2. Step 2: Convert to fraction form
    459.24/687.31 = 382.35/x
  3. Step 3: Cross multiply
    459.24x = 687.31 × 382.35
  4. Step 4: Simplify right side
    459.24x = 262,789.88
  5. Step 5: Solve for x
    x = 262,789.88/459.24
  6. Step 6: Final answer
    x = 572.22

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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.