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Finding the Fourth Proportional to 526.52, 726.24 and 329.69

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Solution

The fourth proportional to 526.52, 726.24 and 329.69 is: 454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.52 : 726.24 = 329.69 : x
  2. Step 2: Convert to fraction form
    526.52/726.24 = 329.69/x
  3. Step 3: Cross multiply
    526.52x = 726.24 × 329.69
  4. Step 4: Simplify right side
    526.52x = 239,430.43
  5. Step 5: Solve for x
    x = 239,430.43/526.52
  6. Step 6: Final answer
    x = 454.75

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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.