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Finding the Fourth Proportional to 377.32, 565.32 and 268.54

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Solution

The fourth proportional to 377.32, 565.32 and 268.54 is: 402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.32 : 565.32 = 268.54 : x
  2. Step 2: Convert to fraction form
    377.32/565.32 = 268.54/x
  3. Step 3: Cross multiply
    377.32x = 565.32 × 268.54
  4. Step 4: Simplify right side
    377.32x = 151,811.03
  5. Step 5: Solve for x
    x = 151,811.03/377.32
  6. Step 6: Final answer
    x = 402.34

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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.