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Finding the Fourth Proportional to 524.27, 722.97 and 347.09

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Solution

The fourth proportional to 524.27, 722.97 and 347.09 is: 478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.27 : 722.97 = 347.09 : x
  2. Step 2: Convert to fraction form
    524.27/722.97 = 347.09/x
  3. Step 3: Cross multiply
    524.27x = 722.97 × 347.09
  4. Step 4: Simplify right side
    524.27x = 250,932.04
  5. Step 5: Solve for x
    x = 250,932.04/524.27
  6. Step 6: Final answer
    x = 478.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.