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Finding the Fourth Proportional to 374.60, 496.96 and 374.60

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Solution

The fourth proportional to 374.60, 496.96 and 374.60 is: 496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.60 : 496.96 = 374.60 : x
  2. Step 2: Convert to fraction form
    374.60/496.96 = 374.60/x
  3. Step 3: Cross multiply
    374.60x = 496.96 × 374.60
  4. Step 4: Simplify right side
    374.60x = 186,161.22
  5. Step 5: Solve for x
    x = 186,161.22/374.60
  6. Step 6: Final answer
    x = 496.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.