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Finding the Fourth Proportional to 930.56, 1,395.51 and 272.25

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Solution

The fourth proportional to 930.56, 1,395.51 and 272.25 is: 408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.56 : 1,395.51 = 272.25 : x
  2. Step 2: Convert to fraction form
    930.56/1,395.51 = 272.25/x
  3. Step 3: Cross multiply
    930.56x = 1,395.51 × 272.25
  4. Step 4: Simplify right side
    930.56x = 379,927.60
  5. Step 5: Solve for x
    x = 379,927.60/930.56
  6. Step 6: Final answer
    x = 408.28

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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.