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Finding the Fourth Proportional to 523.87, 785.89 and 177.23

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Solution

The fourth proportional to 523.87, 785.89 and 177.23 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.87 : 785.89 = 177.23 : x
  2. Step 2: Convert to fraction form
    523.87/785.89 = 177.23/x
  3. Step 3: Cross multiply
    523.87x = 785.89 × 177.23
  4. Step 4: Simplify right side
    523.87x = 139,279.41
  5. Step 5: Solve for x
    x = 139,279.41/523.87
  6. Step 6: Final answer
    x = 265.87

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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.