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Finding the Fourth Proportional to 381.83, 572.82 and 347.05

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Solution

The fourth proportional to 381.83, 572.82 and 347.05 is: 520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.83 : 572.82 = 347.05 : x
  2. Step 2: Convert to fraction form
    381.83/572.82 = 347.05/x
  3. Step 3: Cross multiply
    381.83x = 572.82 × 347.05
  4. Step 4: Simplify right side
    381.83x = 198,798.55
  5. Step 5: Solve for x
    x = 198,798.55/381.83
  6. Step 6: Final answer
    x = 520.65

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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.