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Finding the Fourth Proportional to 523.43, 722.37 and 290.57

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Solution

The fourth proportional to 523.43, 722.37 and 290.57 is: 401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.43 : 722.37 = 290.57 : x
  2. Step 2: Convert to fraction form
    523.43/722.37 = 290.57/x
  3. Step 3: Cross multiply
    523.43x = 722.37 × 290.57
  4. Step 4: Simplify right side
    523.43x = 209,899.05
  5. Step 5: Solve for x
    x = 209,899.05/523.43
  6. Step 6: Final answer
    x = 401.01

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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.