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Finding the Fourth Proportional to 471.97, 651.33 and 259.30

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Solution

The fourth proportional to 471.97, 651.33 and 259.30 is: 357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.97 : 651.33 = 259.30 : x
  2. Step 2: Convert to fraction form
    471.97/651.33 = 259.30/x
  3. Step 3: Cross multiply
    471.97x = 651.33 × 259.30
  4. Step 4: Simplify right side
    471.97x = 168,889.87
  5. Step 5: Solve for x
    x = 168,889.87/471.97
  6. Step 6: Final answer
    x = 357.84

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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.