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Finding the Fourth Proportional to 921.30, 1,381.53 and 271.89

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Solution

The fourth proportional to 921.30, 1,381.53 and 271.89 is: 407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.30 : 1,381.53 = 271.89 : x
  2. Step 2: Convert to fraction form
    921.30/1,381.53 = 271.89/x
  3. Step 3: Cross multiply
    921.30x = 1,381.53 × 271.89
  4. Step 4: Simplify right side
    921.30x = 375,624.19
  5. Step 5: Solve for x
    x = 375,624.19/921.30
  6. Step 6: Final answer
    x = 407.71

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Why These Related Problems?

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