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Finding the Fourth Proportional to 351.30, 525.96 and 339.78

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Solution

The fourth proportional to 351.30, 525.96 and 339.78 is: 508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.30 : 525.96 = 339.78 : x
  2. Step 2: Convert to fraction form
    351.30/525.96 = 339.78/x
  3. Step 3: Cross multiply
    351.30x = 525.96 × 339.78
  4. Step 4: Simplify right side
    351.30x = 178,710.69
  5. Step 5: Solve for x
    x = 178,710.69/351.30
  6. Step 6: Final answer
    x = 508.71

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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.