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Finding the Fourth Proportional to 523.22, 722.05 and 302.24

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Solution

The fourth proportional to 523.22, 722.05 and 302.24 is: 417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.22 : 722.05 = 302.24 : x
  2. Step 2: Convert to fraction form
    523.22/722.05 = 302.24/x
  3. Step 3: Cross multiply
    523.22x = 722.05 × 302.24
  4. Step 4: Simplify right side
    523.22x = 218,232.39
  5. Step 5: Solve for x
    x = 218,232.39/523.22
  6. Step 6: Final answer
    x = 417.09

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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.