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Finding the Fourth Proportional to 459.87, 635.53 and 376.84

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Solution

The fourth proportional to 459.87, 635.53 and 376.84 is: 520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.87 : 635.53 = 376.84 : x
  2. Step 2: Convert to fraction form
    459.87/635.53 = 376.84/x
  3. Step 3: Cross multiply
    459.87x = 635.53 × 376.84
  4. Step 4: Simplify right side
    459.87x = 239,493.13
  5. Step 5: Solve for x
    x = 239,493.13/459.87
  6. Step 6: Final answer
    x = 520.78

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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.