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Finding the Fourth Proportional to 524.82, 785.46 and 329.76

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Solution

The fourth proportional to 524.82, 785.46 and 329.76 is: 493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.82 : 785.46 = 329.76 : x
  2. Step 2: Convert to fraction form
    524.82/785.46 = 329.76/x
  3. Step 3: Cross multiply
    524.82x = 785.46 × 329.76
  4. Step 4: Simplify right side
    524.82x = 259,013.29
  5. Step 5: Solve for x
    x = 259,013.29/524.82
  6. Step 6: Final answer
    x = 493.53

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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.