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Finding the Fourth Proportional to 523.63, 785.64 and 194.77

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Solution

The fourth proportional to 523.63, 785.64 and 194.77 is: 292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.63 : 785.64 = 194.77 : x
  2. Step 2: Convert to fraction form
    523.63/785.64 = 194.77/x
  3. Step 3: Cross multiply
    523.63x = 785.64 × 194.77
  4. Step 4: Simplify right side
    523.63x = 153,015.17
  5. Step 5: Solve for x
    x = 153,015.17/523.63
  6. Step 6: Final answer
    x = 292.22

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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.