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Finding the Fourth Proportional to 459.51, 634.19 and 444.32

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Solution

The fourth proportional to 459.51, 634.19 and 444.32 is: 613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.51 : 634.19 = 444.32 : x
  2. Step 2: Convert to fraction form
    459.51/634.19 = 444.32/x
  3. Step 3: Cross multiply
    459.51x = 634.19 × 444.32
  4. Step 4: Simplify right side
    459.51x = 281,782.83
  5. Step 5: Solve for x
    x = 281,782.83/459.51
  6. Step 6: Final answer
    x = 613.23

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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.