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Finding the Fourth Proportional to 381.43, 570.93 and 295.08

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Solution

The fourth proportional to 381.43, 570.93 and 295.08 is: 441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.43 : 570.93 = 295.08 : x
  2. Step 2: Convert to fraction form
    381.43/570.93 = 295.08/x
  3. Step 3: Cross multiply
    381.43x = 570.93 × 295.08
  4. Step 4: Simplify right side
    381.43x = 168,470.02
  5. Step 5: Solve for x
    x = 168,470.02/381.43
  6. Step 6: Final answer
    x = 441.68

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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.