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Finding the Fourth Proportional to 939.51, 1,409.40 and 362.25

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Solution

The fourth proportional to 939.51, 1,409.40 and 362.25 is: 543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.51 : 1,409.40 = 362.25 : x
  2. Step 2: Convert to fraction form
    939.51/1,409.40 = 362.25/x
  3. Step 3: Cross multiply
    939.51x = 1,409.40 × 362.25
  4. Step 4: Simplify right side
    939.51x = 510,555.15
  5. Step 5: Solve for x
    x = 510,555.15/939.51
  6. Step 6: Final answer
    x = 543.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.