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Finding the Fourth Proportional to 459.67, 634.45 and 263.29

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Solution

The fourth proportional to 459.67, 634.45 and 263.29 is: 363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.67 : 634.45 = 263.29 : x
  2. Step 2: Convert to fraction form
    459.67/634.45 = 263.29/x
  3. Step 3: Cross multiply
    459.67x = 634.45 × 263.29
  4. Step 4: Simplify right side
    459.67x = 167,044.34
  5. Step 5: Solve for x
    x = 167,044.34/459.67
  6. Step 6: Final answer
    x = 363.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.