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Finding the Fourth Proportional to 419.04, 578.16 and 253.26

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Solution

The fourth proportional to 419.04, 578.16 and 253.26 is: 349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 578.16 = 253.26 : x
  2. Step 2: Convert to fraction form
    419.04/578.16 = 253.26/x
  3. Step 3: Cross multiply
    419.04x = 578.16 × 253.26
  4. Step 4: Simplify right side
    419.04x = 146,424.80
  5. Step 5: Solve for x
    x = 146,424.80/419.04
  6. Step 6: Final answer
    x = 349.43

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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.