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Finding the Fourth Proportional to 538.68, 805.99 and 451.08

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Solution

The fourth proportional to 538.68, 805.99 and 451.08 is: 674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.68 : 805.99 = 451.08 : x
  2. Step 2: Convert to fraction form
    538.68/805.99 = 451.08/x
  3. Step 3: Cross multiply
    538.68x = 805.99 × 451.08
  4. Step 4: Simplify right side
    538.68x = 363,565.97
  5. Step 5: Solve for x
    x = 363,565.97/538.68
  6. Step 6: Final answer
    x = 674.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.