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Finding the Fourth Proportional to 526.35, 726.36 and 293.46

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Solution

The fourth proportional to 526.35, 726.36 and 293.46 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.35 : 726.36 = 293.46 : x
  2. Step 2: Convert to fraction form
    526.35/726.36 = 293.46/x
  3. Step 3: Cross multiply
    526.35x = 726.36 × 293.46
  4. Step 4: Simplify right side
    526.35x = 213,157.61
  5. Step 5: Solve for x
    x = 213,157.61/526.35
  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.