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Finding the Fourth Proportional to 921.38, 1,381.41 and 434.16

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Solution

The fourth proportional to 921.38, 1,381.41 and 434.16 is: 650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.38 : 1,381.41 = 434.16 : x
  2. Step 2: Convert to fraction form
    921.38/1,381.41 = 434.16/x
  3. Step 3: Cross multiply
    921.38x = 1,381.41 × 434.16
  4. Step 4: Simplify right side
    921.38x = 599,752.97
  5. Step 5: Solve for x
    x = 599,752.97/921.38
  6. Step 6: Final answer
    x = 650.93

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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.