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Finding the Fourth Proportional to 535.95, 804.65 and 276.16

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Solution

The fourth proportional to 535.95, 804.65 and 276.16 is: 414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.95 : 804.65 = 276.16 : x
  2. Step 2: Convert to fraction form
    535.95/804.65 = 276.16/x
  3. Step 3: Cross multiply
    535.95x = 804.65 × 276.16
  4. Step 4: Simplify right side
    535.95x = 222,212.14
  5. Step 5: Solve for x
    x = 222,212.14/535.95
  6. Step 6: Final answer
    x = 414.61

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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.