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Finding the Fourth Proportional to 523.97, 785.65 and 177.24

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Solution

The fourth proportional to 523.97, 785.65 and 177.24 is: 265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 785.65 = 177.24 : x
  2. Step 2: Convert to fraction form
    523.97/785.65 = 177.24/x
  3. Step 3: Cross multiply
    523.97x = 785.65 × 177.24
  4. Step 4: Simplify right side
    523.97x = 139,247.02
  5. Step 5: Solve for x
    x = 139,247.02/523.97
  6. Step 6: Final answer
    x = 265.75

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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.