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Finding the Fourth Proportional to 459.97, 634.93 and 304.77

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Solution

The fourth proportional to 459.97, 634.93 and 304.77 is: 420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.97 : 634.93 = 304.77 : x
  2. Step 2: Convert to fraction form
    459.97/634.93 = 304.77/x
  3. Step 3: Cross multiply
    459.97x = 634.93 × 304.77
  4. Step 4: Simplify right side
    459.97x = 193,506.09
  5. Step 5: Solve for x
    x = 193,506.09/459.97
  6. Step 6: Final answer
    x = 420.69

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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.