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Finding the Fourth Proportional to 524.88, 788.76 and 481.08

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Solution

The fourth proportional to 524.88, 788.76 and 481.08 is: 722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.88 : 788.76 = 481.08 : x
  2. Step 2: Convert to fraction form
    524.88/788.76 = 481.08/x
  3. Step 3: Cross multiply
    524.88x = 788.76 × 481.08
  4. Step 4: Simplify right side
    524.88x = 379,456.66
  5. Step 5: Solve for x
    x = 379,456.66/524.88
  6. Step 6: Final answer
    x = 722.94

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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.