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Finding the Fourth Proportional to 420.24, 578.81 and 341.27

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Solution

The fourth proportional to 420.24, 578.81 and 341.27 is: 470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.24 : 578.81 = 341.27 : x
  2. Step 2: Convert to fraction form
    420.24/578.81 = 341.27/x
  3. Step 3: Cross multiply
    420.24x = 578.81 × 341.27
  4. Step 4: Simplify right side
    420.24x = 197,530.62
  5. Step 5: Solve for x
    x = 197,530.62/420.24
  6. Step 6: Final answer
    x = 470.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.