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Finding the Fourth Proportional to 538.95, 743.68 and 302.86

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Solution

The fourth proportional to 538.95, 743.68 and 302.86 is: 417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.95 : 743.68 = 302.86 : x
  2. Step 2: Convert to fraction form
    538.95/743.68 = 302.86/x
  3. Step 3: Cross multiply
    538.95x = 743.68 × 302.86
  4. Step 4: Simplify right side
    538.95x = 225,234.32
  5. Step 5: Solve for x
    x = 225,234.32/538.95
  6. Step 6: Final answer
    x = 417.91

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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.