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Finding the Fourth Proportional to 538.83, 743.61 and 302.82

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Solution

The fourth proportional to 538.83, 743.61 and 302.82 is: 417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.83 : 743.61 = 302.82 : x
  2. Step 2: Convert to fraction form
    538.83/743.61 = 302.82/x
  3. Step 3: Cross multiply
    538.83x = 743.61 × 302.82
  4. Step 4: Simplify right side
    538.83x = 225,179.98
  5. Step 5: Solve for x
    x = 225,179.98/538.83
  6. Step 6: Final answer
    x = 417.91

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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.