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Finding the Fourth Proportional to 314.88, 433.96 and 221.48

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Solution

The fourth proportional to 314.88, 433.96 and 221.48 is: 305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 433.96 = 221.48 : x
  2. Step 2: Convert to fraction form
    314.88/433.96 = 221.48/x
  3. Step 3: Cross multiply
    314.88x = 433.96 × 221.48
  4. Step 4: Simplify right side
    314.88x = 96,113.46
  5. Step 5: Solve for x
    x = 96,113.46/314.88
  6. Step 6: Final answer
    x = 305.24

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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.