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Finding the Fourth Proportional to 312.68, 430.99 and 250.40

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Solution

The fourth proportional to 312.68, 430.99 and 250.40 is: 345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.68 : 430.99 = 250.40 : x
  2. Step 2: Convert to fraction form
    312.68/430.99 = 250.40/x
  3. Step 3: Cross multiply
    312.68x = 430.99 × 250.40
  4. Step 4: Simplify right side
    312.68x = 107,919.90
  5. Step 5: Solve for x
    x = 107,919.90/312.68
  6. Step 6: Final answer
    x = 345.14

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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.