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Finding the Fourth Proportional to 538.01, 805.31 and 290.87

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Solution

The fourth proportional to 538.01, 805.31 and 290.87 is: 435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.01 : 805.31 = 290.87 : x
  2. Step 2: Convert to fraction form
    538.01/805.31 = 290.87/x
  3. Step 3: Cross multiply
    538.01x = 805.31 × 290.87
  4. Step 4: Simplify right side
    538.01x = 234,235.04
  5. Step 5: Solve for x
    x = 234,235.04/538.01
  6. Step 6: Final answer
    x = 435.38

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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.