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Finding the Fourth Proportional to 427.73, 590.42 and 253.07

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Solution

The fourth proportional to 427.73, 590.42 and 253.07 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.73 : 590.42 = 253.07 : x
  2. Step 2: Convert to fraction form
    427.73/590.42 = 253.07/x
  3. Step 3: Cross multiply
    427.73x = 590.42 × 253.07
  4. Step 4: Simplify right side
    427.73x = 149,413.37
  5. Step 5: Solve for x
    x = 149,413.37/427.73
  6. Step 6: Final answer
    x = 349.32

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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.