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Finding the Fourth Proportional to 524.36, 786.19 and 293.27

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Solution

The fourth proportional to 524.36, 786.19 and 293.27 is: 439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.36 : 786.19 = 293.27 : x
  2. Step 2: Convert to fraction form
    524.36/786.19 = 293.27/x
  3. Step 3: Cross multiply
    524.36x = 786.19 × 293.27
  4. Step 4: Simplify right side
    524.36x = 230,565.57
  5. Step 5: Solve for x
    x = 230,565.57/524.36
  6. Step 6: Final answer
    x = 439.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.