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Finding the Fourth Proportional to 419.07, 578.34 and 253.23

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Solution

The fourth proportional to 419.07, 578.34 and 253.23 is: 349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.07 : 578.34 = 253.23 : x
  2. Step 2: Convert to fraction form
    419.07/578.34 = 253.23/x
  3. Step 3: Cross multiply
    419.07x = 578.34 × 253.23
  4. Step 4: Simplify right side
    419.07x = 146,450.87
  5. Step 5: Solve for x
    x = 146,450.87/419.07
  6. Step 6: Final answer
    x = 349.46

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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.