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Finding the Fourth Proportional to 526.09, 725.70 and 329.26

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Solution

The fourth proportional to 526.09, 725.70 and 329.26 is: 454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.09 : 725.70 = 329.26 : x
  2. Step 2: Convert to fraction form
    526.09/725.70 = 329.26/x
  3. Step 3: Cross multiply
    526.09x = 725.70 × 329.26
  4. Step 4: Simplify right side
    526.09x = 238,943.98
  5. Step 5: Solve for x
    x = 238,943.98/526.09
  6. Step 6: Final answer
    x = 454.19

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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.