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Finding the Fourth Proportional to 526.29, 726.32 and 293.41

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Solution

The fourth proportional to 526.29, 726.32 and 293.41 is: 404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.29 : 726.32 = 293.41 : x
  2. Step 2: Convert to fraction form
    526.29/726.32 = 293.41/x
  3. Step 3: Cross multiply
    526.29x = 726.32 × 293.41
  4. Step 4: Simplify right side
    526.29x = 213,109.55
  5. Step 5: Solve for x
    x = 213,109.55/526.29
  6. Step 6: Final answer
    x = 404.93

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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.