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Finding the Fourth Proportional to 921.18, 1,381.90 and 344

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Solution

The fourth proportional to 921.18, 1,381.90 and 344 is: 516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.18 : 1,381.90 = 344 : x
  2. Step 2: Convert to fraction form
    921.18/1,381.90 = 344/x
  3. Step 3: Cross multiply
    921.18x = 1,381.90 × 344
  4. Step 4: Simplify right side
    921.18x = 475,373.60
  5. Step 5: Solve for x
    x = 475,373.60/921.18
  6. Step 6: Final answer
    x = 516.05

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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.