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Finding the Fourth Proportional to 925.76, 1,388.67 and 276.53

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Solution

The fourth proportional to 925.76, 1,388.67 and 276.53 is: 414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.76 : 1,388.67 = 276.53 : x
  2. Step 2: Convert to fraction form
    925.76/1,388.67 = 276.53/x
  3. Step 3: Cross multiply
    925.76x = 1,388.67 × 276.53
  4. Step 4: Simplify right side
    925.76x = 384,008.92
  5. Step 5: Solve for x
    x = 384,008.92/925.76
  6. Step 6: Final answer
    x = 414.80

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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.