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Finding the Fourth Proportional to 420.94, 578.94 and 337.91

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Solution

The fourth proportional to 420.94, 578.94 and 337.91 is: 464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.94 : 578.94 = 337.91 : x
  2. Step 2: Convert to fraction form
    420.94/578.94 = 337.91/x
  3. Step 3: Cross multiply
    420.94x = 578.94 × 337.91
  4. Step 4: Simplify right side
    420.94x = 195,629.80
  5. Step 5: Solve for x
    x = 195,629.80/420.94
  6. Step 6: Final answer
    x = 464.75

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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.