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Finding the Fourth Proportional to 925.72, 1,388.34 and 377.68

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Solution

The fourth proportional to 925.72, 1,388.34 and 377.68 is: 566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.72 : 1,388.34 = 377.68 : x
  2. Step 2: Convert to fraction form
    925.72/1,388.34 = 377.68/x
  3. Step 3: Cross multiply
    925.72x = 1,388.34 × 377.68
  4. Step 4: Simplify right side
    925.72x = 524,348.25
  5. Step 5: Solve for x
    x = 524,348.25/925.72
  6. Step 6: Final answer
    x = 566.42

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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.