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Finding the Fourth Proportional to 459.63, 634.29 and 263.14

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Solution

The fourth proportional to 459.63, 634.29 and 263.14 is: 363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.63 : 634.29 = 263.14 : x
  2. Step 2: Convert to fraction form
    459.63/634.29 = 263.14/x
  3. Step 3: Cross multiply
    459.63x = 634.29 × 263.14
  4. Step 4: Simplify right side
    459.63x = 166,907.07
  5. Step 5: Solve for x
    x = 166,907.07/459.63
  6. Step 6: Final answer
    x = 363.13

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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.