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Finding the Fourth Proportional to 459.93, 634.67 and 263.40

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Solution

The fourth proportional to 459.93, 634.67 and 263.40 is: 363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.93 : 634.67 = 263.40 : x
  2. Step 2: Convert to fraction form
    459.93/634.67 = 263.40/x
  3. Step 3: Cross multiply
    459.93x = 634.67 × 263.40
  4. Step 4: Simplify right side
    459.93x = 167,170.76
  5. Step 5: Solve for x
    x = 167,170.76/459.93
  6. Step 6: Final answer
    x = 363.47

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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.