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Finding the Fourth Proportional to 412.08, 617.40 and 381.84

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Solution

The fourth proportional to 412.08, 617.40 and 381.84 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.08 : 617.40 = 381.84 : x
  2. Step 2: Convert to fraction form
    412.08/617.40 = 381.84/x
  3. Step 3: Cross multiply
    412.08x = 617.40 × 381.84
  4. Step 4: Simplify right side
    412.08x = 235,748.02
  5. Step 5: Solve for x
    x = 235,748.02/412.08
  6. Step 6: Final answer
    x = 572.09

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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.