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Finding the Fourth Proportional to 538.86, 743.59 and 302.79

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Solution

The fourth proportional to 538.86, 743.59 and 302.79 is: 417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.86 : 743.59 = 302.79 : x
  2. Step 2: Convert to fraction form
    538.86/743.59 = 302.79/x
  3. Step 3: Cross multiply
    538.86x = 743.59 × 302.79
  4. Step 4: Simplify right side
    538.86x = 225,151.62
  5. Step 5: Solve for x
    x = 225,151.62/538.86
  6. Step 6: Final answer
    x = 417.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.