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Finding the Fourth Proportional to 419.51, 578.88 and 253.73

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Solution

The fourth proportional to 419.51, 578.88 and 253.73 is: 350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.51 : 578.88 = 253.73 : x
  2. Step 2: Convert to fraction form
    419.51/578.88 = 253.73/x
  3. Step 3: Cross multiply
    419.51x = 578.88 × 253.73
  4. Step 4: Simplify right side
    419.51x = 146,879.22
  5. Step 5: Solve for x
    x = 146,879.22/419.51
  6. Step 6: Final answer
    x = 350.12

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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.