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Finding the Fourth Proportional to 538.25, 742.82 and 302.22

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Solution

The fourth proportional to 538.25, 742.82 and 302.22 is: 417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.25 : 742.82 = 302.22 : x
  2. Step 2: Convert to fraction form
    538.25/742.82 = 302.22/x
  3. Step 3: Cross multiply
    538.25x = 742.82 × 302.22
  4. Step 4: Simplify right side
    538.25x = 224,493.55
  5. Step 5: Solve for x
    x = 224,493.55/538.25
  6. Step 6: Final answer
    x = 417.08

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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.