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Finding the Fourth Proportional to 526.27, 726.29 and 293.40

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Solution

The fourth proportional to 526.27, 726.29 and 293.40 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.27 : 726.29 = 293.40 : x
  2. Step 2: Convert to fraction form
    526.27/726.29 = 293.40/x
  3. Step 3: Cross multiply
    526.27x = 726.29 × 293.40
  4. Step 4: Simplify right side
    526.27x = 213,093.49
  5. Step 5: Solve for x
    x = 213,093.49/526.27
  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.