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Finding the Fourth Proportional to 526.28, 726.27 and 293.41

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Solution

The fourth proportional to 526.28, 726.27 and 293.41 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.28 : 726.27 = 293.41 : x
  2. Step 2: Convert to fraction form
    526.28/726.27 = 293.41/x
  3. Step 3: Cross multiply
    526.28x = 726.27 × 293.41
  4. Step 4: Simplify right side
    526.28x = 213,094.88
  5. Step 5: Solve for x
    x = 213,094.88/526.28
  6. Step 6: Final answer
    x = 404.91

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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.