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Finding the Fourth Proportional to 525.32, 725.19 and 329.12

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Solution

The fourth proportional to 525.32, 725.19 and 329.12 is: 454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.32 : 725.19 = 329.12 : x
  2. Step 2: Convert to fraction form
    525.32/725.19 = 329.12/x
  3. Step 3: Cross multiply
    525.32x = 725.19 × 329.12
  4. Step 4: Simplify right side
    525.32x = 238,674.53
  5. Step 5: Solve for x
    x = 238,674.53/525.32
  6. Step 6: Final answer
    x = 454.34

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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.