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Finding the Fourth Proportional to 921.05, 1,381.59 and 271.80

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Solution

The fourth proportional to 921.05, 1,381.59 and 271.80 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.05 : 1,381.59 = 271.80 : x
  2. Step 2: Convert to fraction form
    921.05/1,381.59 = 271.80/x
  3. Step 3: Cross multiply
    921.05x = 1,381.59 × 271.80
  4. Step 4: Simplify right side
    921.05x = 375,516.16
  5. Step 5: Solve for x
    x = 375,516.16/921.05
  6. Step 6: Final answer
    x = 407.70

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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.