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Finding the Fourth Proportional to 310.50, 425.66 and 294.30

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Solution

The fourth proportional to 310.50, 425.66 and 294.30 is: 403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 425.66 = 294.30 : x
  2. Step 2: Convert to fraction form
    310.50/425.66 = 294.30/x
  3. Step 3: Cross multiply
    310.50x = 425.66 × 294.30
  4. Step 4: Simplify right side
    310.50x = 125,270.27
  5. Step 5: Solve for x
    x = 125,270.27/310.50
  6. Step 6: Final answer
    x = 403.45

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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.