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Finding the Fourth Proportional to 526.36, 726.32 and 293.48

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Solution

The fourth proportional to 526.36, 726.32 and 293.48 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.36 : 726.32 = 293.48 : x
  2. Step 2: Convert to fraction form
    526.36/726.32 = 293.48/x
  3. Step 3: Cross multiply
    526.36x = 726.32 × 293.48
  4. Step 4: Simplify right side
    526.36x = 213,160.39
  5. Step 5: Solve for x
    x = 213,160.39/526.36
  6. Step 6: Final answer
    x = 404.97

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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.