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Finding the Fourth Proportional to 420.26, 576.45 and 413.37

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Solution

The fourth proportional to 420.26, 576.45 and 413.37 is: 567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.26 : 576.45 = 413.37 : x
  2. Step 2: Convert to fraction form
    420.26/576.45 = 413.37/x
  3. Step 3: Cross multiply
    420.26x = 576.45 × 413.37
  4. Step 4: Simplify right side
    420.26x = 238,287.14
  5. Step 5: Solve for x
    x = 238,287.14/420.26
  6. Step 6: Final answer
    x = 567.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.