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Finding the Fourth Proportional to 523.64, 785.44 and 177

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Solution

The fourth proportional to 523.64, 785.44 and 177 is: 265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.64 : 785.44 = 177 : x
  2. Step 2: Convert to fraction form
    523.64/785.44 = 177/x
  3. Step 3: Cross multiply
    523.64x = 785.44 × 177
  4. Step 4: Simplify right side
    523.64x = 139,022.88
  5. Step 5: Solve for x
    x = 139,022.88/523.64
  6. Step 6: Final answer
    x = 265.49

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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.