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Finding the Fourth Proportional to 651.29, 899.36 and 475.25

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Solution

The fourth proportional to 651.29, 899.36 and 475.25 is: 656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.29 : 899.36 = 475.25 : x
  2. Step 2: Convert to fraction form
    651.29/899.36 = 475.25/x
  3. Step 3: Cross multiply
    651.29x = 899.36 × 475.25
  4. Step 4: Simplify right side
    651.29x = 427,413.97
  5. Step 5: Solve for x
    x = 427,413.97/651.29
  6. Step 6: Final answer
    x = 656.26

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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.