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Finding the Fourth Proportional to 523.24, 722.07 and 290.36

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Solution

The fourth proportional to 523.24, 722.07 and 290.36 is: 400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 722.07 = 290.36 : x
  2. Step 2: Convert to fraction form
    523.24/722.07 = 290.36/x
  3. Step 3: Cross multiply
    523.24x = 722.07 × 290.36
  4. Step 4: Simplify right side
    523.24x = 209,662.05
  5. Step 5: Solve for x
    x = 209,662.05/523.24
  6. Step 6: Final answer
    x = 400.70

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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.