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Finding the Fourth Proportional to 526.28, 726.48 and 351.92

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Solution

The fourth proportional to 526.28, 726.48 and 351.92 is: 485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.28 : 726.48 = 351.92 : x
  2. Step 2: Convert to fraction form
    526.28/726.48 = 351.92/x
  3. Step 3: Cross multiply
    526.28x = 726.48 × 351.92
  4. Step 4: Simplify right side
    526.28x = 255,662.84
  5. Step 5: Solve for x
    x = 255,662.84/526.28
  6. Step 6: Final answer
    x = 485.79

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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.