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Finding the Fourth Proportional to 538.66, 743.32 and 302.57

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Solution

The fourth proportional to 538.66, 743.32 and 302.57 is: 417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.66 : 743.32 = 302.57 : x
  2. Step 2: Convert to fraction form
    538.66/743.32 = 302.57/x
  3. Step 3: Cross multiply
    538.66x = 743.32 × 302.57
  4. Step 4: Simplify right side
    538.66x = 224,906.33
  5. Step 5: Solve for x
    x = 224,906.33/538.66
  6. Step 6: Final answer
    x = 417.53

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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.