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Finding the Fourth Proportional to 526.53, 726.30 and 339.73

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Solution

The fourth proportional to 526.53, 726.30 and 339.73 is: 468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.53 : 726.30 = 339.73 : x
  2. Step 2: Convert to fraction form
    526.53/726.30 = 339.73/x
  3. Step 3: Cross multiply
    526.53x = 726.30 × 339.73
  4. Step 4: Simplify right side
    526.53x = 246,745.90
  5. Step 5: Solve for x
    x = 246,745.90/526.53
  6. Step 6: Final answer
    x = 468.63

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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.