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Finding the Fourth Proportional to 377.68, 565.74 and 350.34

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Solution

The fourth proportional to 377.68, 565.74 and 350.34 is: 524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.68 : 565.74 = 350.34 : x
  2. Step 2: Convert to fraction form
    377.68/565.74 = 350.34/x
  3. Step 3: Cross multiply
    377.68x = 565.74 × 350.34
  4. Step 4: Simplify right side
    377.68x = 198,201.35
  5. Step 5: Solve for x
    x = 198,201.35/377.68
  6. Step 6: Final answer
    x = 524.79

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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.