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Finding the Fourth Proportional to 524.09, 722.96 and 314.21

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Solution

The fourth proportional to 524.09, 722.96 and 314.21 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.09 : 722.96 = 314.21 : x
  2. Step 2: Convert to fraction form
    524.09/722.96 = 314.21/x
  3. Step 3: Cross multiply
    524.09x = 722.96 × 314.21
  4. Step 4: Simplify right side
    524.09x = 227,161.26
  5. Step 5: Solve for x
    x = 227,161.26/524.09
  6. Step 6: Final answer
    x = 433.44

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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.