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Finding the Fourth Proportional to 521.37, 782.23 and 174.87

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Solution

The fourth proportional to 521.37, 782.23 and 174.87 is: 262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.37 : 782.23 = 174.87 : x
  2. Step 2: Convert to fraction form
    521.37/782.23 = 174.87/x
  3. Step 3: Cross multiply
    521.37x = 782.23 × 174.87
  4. Step 4: Simplify right side
    521.37x = 136,786.17
  5. Step 5: Solve for x
    x = 136,786.17/521.37
  6. Step 6: Final answer
    x = 262.36

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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.