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Finding the Fourth Proportional to 471.94, 651.34 and 297.25

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Solution

The fourth proportional to 471.94, 651.34 and 297.25 is: 410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.94 : 651.34 = 297.25 : x
  2. Step 2: Convert to fraction form
    471.94/651.34 = 297.25/x
  3. Step 3: Cross multiply
    471.94x = 651.34 × 297.25
  4. Step 4: Simplify right side
    471.94x = 193,609.56
  5. Step 5: Solve for x
    x = 193,609.56/471.94
  6. Step 6: Final answer
    x = 410.24

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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.