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Finding the Fourth Proportional to 374.34, 561.60 and 316.43

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Solution

The fourth proportional to 374.34, 561.60 and 316.43 is: 474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.34 : 561.60 = 316.43 : x
  2. Step 2: Convert to fraction form
    374.34/561.60 = 316.43/x
  3. Step 3: Cross multiply
    374.34x = 561.60 × 316.43
  4. Step 4: Simplify right side
    374.34x = 177,704.28
  5. Step 5: Solve for x
    x = 177,704.28/374.34
  6. Step 6: Final answer
    x = 474.71

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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.