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Finding the Fourth Proportional to 523.29, 722.27 and 302.37

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Solution

The fourth proportional to 523.29, 722.27 and 302.37 is: 417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.29 : 722.27 = 302.37 : x
  2. Step 2: Convert to fraction form
    523.29/722.27 = 302.37/x
  3. Step 3: Cross multiply
    523.29x = 722.27 × 302.37
  4. Step 4: Simplify right side
    523.29x = 218,391.27
  5. Step 5: Solve for x
    x = 218,391.27/523.29
  6. Step 6: Final answer
    x = 417.34

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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.