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Finding the Fourth Proportional to 418.87, 578.06 and 253.09

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Solution

The fourth proportional to 418.87, 578.06 and 253.09 is: 349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.87 : 578.06 = 253.09 : x
  2. Step 2: Convert to fraction form
    418.87/578.06 = 253.09/x
  3. Step 3: Cross multiply
    418.87x = 578.06 × 253.09
  4. Step 4: Simplify right side
    418.87x = 146,301.21
  5. Step 5: Solve for x
    x = 146,301.21/418.87
  6. Step 6: Final answer
    x = 349.28

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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.