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Finding the Fourth Proportional to 351.18, 525.99 and 274.02

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Solution

The fourth proportional to 351.18, 525.99 and 274.02 is: 410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.18 : 525.99 = 274.02 : x
  2. Step 2: Convert to fraction form
    351.18/525.99 = 274.02/x
  3. Step 3: Cross multiply
    351.18x = 525.99 × 274.02
  4. Step 4: Simplify right side
    351.18x = 144,131.78
  5. Step 5: Solve for x
    x = 144,131.78/351.18
  6. Step 6: Final answer
    x = 410.42

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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.