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Finding the Fourth Proportional to 523.94, 785.35 and 176.94

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Solution

The fourth proportional to 523.94, 785.35 and 176.94 is: 265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.94 : 785.35 = 176.94 : x
  2. Step 2: Convert to fraction form
    523.94/785.35 = 176.94/x
  3. Step 3: Cross multiply
    523.94x = 785.35 × 176.94
  4. Step 4: Simplify right side
    523.94x = 138,960.05
  5. Step 5: Solve for x
    x = 138,960.05/523.94
  6. Step 6: Final answer
    x = 265.22

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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.