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Finding the Fourth Proportional to 419.10, 578.45 and 253.42

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Solution

The fourth proportional to 419.10, 578.45 and 253.42 is: 349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 578.45 = 253.42 : x
  2. Step 2: Convert to fraction form
    419.10/578.45 = 253.42/x
  3. Step 3: Cross multiply
    419.10x = 578.45 × 253.42
  4. Step 4: Simplify right side
    419.10x = 146,589.99
  5. Step 5: Solve for x
    x = 146,589.99/419.10
  6. Step 6: Final answer
    x = 349.78

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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.