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Finding the Fourth Proportional to 523.68, 722.72 and 290.84

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Solution

The fourth proportional to 523.68, 722.72 and 290.84 is: 401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 722.72 = 290.84 : x
  2. Step 2: Convert to fraction form
    523.68/722.72 = 290.84/x
  3. Step 3: Cross multiply
    523.68x = 722.72 × 290.84
  4. Step 4: Simplify right side
    523.68x = 210,195.88
  5. Step 5: Solve for x
    x = 210,195.88/523.68
  6. Step 6: Final answer
    x = 401.38

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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.