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Finding the Fourth Proportional to 925.56, 1,388.34 and 377.62

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Solution

The fourth proportional to 925.56, 1,388.34 and 377.62 is: 566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.56 : 1,388.34 = 377.62 : x
  2. Step 2: Convert to fraction form
    925.56/1,388.34 = 377.62/x
  3. Step 3: Cross multiply
    925.56x = 1,388.34 × 377.62
  4. Step 4: Simplify right side
    925.56x = 524,264.95
  5. Step 5: Solve for x
    x = 524,264.95/925.56
  6. Step 6: Final answer
    x = 566.43

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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.