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Finding the Fourth Proportional to 525.47, 725.14 and 329.09

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Solution

The fourth proportional to 525.47, 725.14 and 329.09 is: 454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.47 : 725.14 = 329.09 : x
  2. Step 2: Convert to fraction form
    525.47/725.14 = 329.09/x
  3. Step 3: Cross multiply
    525.47x = 725.14 × 329.09
  4. Step 4: Simplify right side
    525.47x = 238,640.83
  5. Step 5: Solve for x
    x = 238,640.83/525.47
  6. Step 6: Final answer
    x = 454.14

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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.