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Finding the Fourth Proportional to 534.87, 805.14 and 381.85

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Solution

The fourth proportional to 534.87, 805.14 and 381.85 is: 574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.87 : 805.14 = 381.85 : x
  2. Step 2: Convert to fraction form
    534.87/805.14 = 381.85/x
  3. Step 3: Cross multiply
    534.87x = 805.14 × 381.85
  4. Step 4: Simplify right side
    534.87x = 307,442.71
  5. Step 5: Solve for x
    x = 307,442.71/534.87
  6. Step 6: Final answer
    x = 574.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.