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Finding the Fourth Proportional to 459.99, 634.71 and 263.46

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Solution

The fourth proportional to 459.99, 634.71 and 263.46 is: 363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.99 : 634.71 = 263.46 : x
  2. Step 2: Convert to fraction form
    459.99/634.71 = 263.46/x
  3. Step 3: Cross multiply
    459.99x = 634.71 × 263.46
  4. Step 4: Simplify right side
    459.99x = 167,224.06
  5. Step 5: Solve for x
    x = 167,224.06/459.99
  6. Step 6: Final answer
    x = 363.54

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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.