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Finding the Fourth Proportional to 375.44, 516.85 and 309.15

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Solution

The fourth proportional to 375.44, 516.85 and 309.15 is: 425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.44 : 516.85 = 309.15 : x
  2. Step 2: Convert to fraction form
    375.44/516.85 = 309.15/x
  3. Step 3: Cross multiply
    375.44x = 516.85 × 309.15
  4. Step 4: Simplify right side
    375.44x = 159,783.40
  5. Step 5: Solve for x
    x = 159,783.40/375.44
  6. Step 6: Final answer
    x = 425.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.