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Finding the Fourth Proportional to 351.42, 525.92 and 259.62

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Solution

The fourth proportional to 351.42, 525.92 and 259.62 is: 388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.42 : 525.92 = 259.62 : x
  2. Step 2: Convert to fraction form
    351.42/525.92 = 259.62/x
  3. Step 3: Cross multiply
    351.42x = 525.92 × 259.62
  4. Step 4: Simplify right side
    351.42x = 136,538.05
  5. Step 5: Solve for x
    x = 136,538.05/351.42
  6. Step 6: Final answer
    x = 388.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.