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Finding the Fourth Proportional to 459.88, 634.71 and 376.83

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Solution

The fourth proportional to 459.88, 634.71 and 376.83 is: 520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.88 : 634.71 = 376.83 : x
  2. Step 2: Convert to fraction form
    459.88/634.71 = 376.83/x
  3. Step 3: Cross multiply
    459.88x = 634.71 × 376.83
  4. Step 4: Simplify right side
    459.88x = 239,177.77
  5. Step 5: Solve for x
    x = 239,177.77/459.88
  6. Step 6: Final answer
    x = 520.09

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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.