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Finding the Fourth Proportional to 372.80, 511.92 and 314.48

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Solution

The fourth proportional to 372.80, 511.92 and 314.48 is: 431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.80 : 511.92 = 314.48 : x
  2. Step 2: Convert to fraction form
    372.80/511.92 = 314.48/x
  3. Step 3: Cross multiply
    372.80x = 511.92 × 314.48
  4. Step 4: Simplify right side
    372.80x = 160,988.60
  5. Step 5: Solve for x
    x = 160,988.60/372.80
  6. Step 6: Final answer
    x = 431.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.