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Finding the Fourth Proportional to 526.26, 725.86 and 329.88

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Solution

The fourth proportional to 526.26, 725.86 and 329.88 is: 455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.26 : 725.86 = 329.88 : x
  2. Step 2: Convert to fraction form
    526.26/725.86 = 329.88/x
  3. Step 3: Cross multiply
    526.26x = 725.86 × 329.88
  4. Step 4: Simplify right side
    526.26x = 239,446.70
  5. Step 5: Solve for x
    x = 239,446.70/526.26
  6. Step 6: Final answer
    x = 455.00

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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.