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Finding the Fourth Proportional to 524.82, 727.54 and 504.30

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Solution

The fourth proportional to 524.82, 727.54 and 504.30 is: 699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.82 : 727.54 = 504.30 : x
  2. Step 2: Convert to fraction form
    524.82/727.54 = 504.30/x
  3. Step 3: Cross multiply
    524.82x = 727.54 × 504.30
  4. Step 4: Simplify right side
    524.82x = 366,898.42
  5. Step 5: Solve for x
    x = 366,898.42/524.82
  6. Step 6: Final answer
    x = 699.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.