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Finding the Fourth Proportional to 351.35, 525.50 and 265.09

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Solution

The fourth proportional to 351.35, 525.50 and 265.09 is: 396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.35 : 525.50 = 265.09 : x
  2. Step 2: Convert to fraction form
    351.35/525.50 = 265.09/x
  3. Step 3: Cross multiply
    351.35x = 525.50 × 265.09
  4. Step 4: Simplify right side
    351.35x = 139,300.84
  5. Step 5: Solve for x
    x = 139,300.84/351.35
  6. Step 6: Final answer
    x = 396.47

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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.