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Finding the Fourth Proportional to 921.30, 1,381.74 and 271.88

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Solution

The fourth proportional to 921.30, 1,381.74 and 271.88 is: 407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.30 : 1,381.74 = 271.88 : x
  2. Step 2: Convert to fraction form
    921.30/1,381.74 = 271.88/x
  3. Step 3: Cross multiply
    921.30x = 1,381.74 × 271.88
  4. Step 4: Simplify right side
    921.30x = 375,667.47
  5. Step 5: Solve for x
    x = 375,667.47/921.30
  6. Step 6: Final answer
    x = 407.76

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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.