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Finding the Fourth Proportional to 381.30, 569.34 and 308.40

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Solution

The fourth proportional to 381.30, 569.34 and 308.40 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.30 : 569.34 = 308.40 : x
  2. Step 2: Convert to fraction form
    381.30/569.34 = 308.40/x
  3. Step 3: Cross multiply
    381.30x = 569.34 × 308.40
  4. Step 4: Simplify right side
    381.30x = 175,584.46
  5. Step 5: Solve for x
    x = 175,584.46/381.30
  6. Step 6: Final answer
    x = 460.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.