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Finding the Fourth Proportional to 288.06, 433.89 and 262.53

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Solution

The fourth proportional to 288.06, 433.89 and 262.53 is: 395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.06 : 433.89 = 262.53 : x
  2. Step 2: Convert to fraction form
    288.06/433.89 = 262.53/x
  3. Step 3: Cross multiply
    288.06x = 433.89 × 262.53
  4. Step 4: Simplify right side
    288.06x = 113,909.14
  5. Step 5: Solve for x
    x = 113,909.14/288.06
  6. Step 6: Final answer
    x = 395.44

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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.