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Finding the Fourth Proportional to 399.80, 551.34 and 312.44

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Solution

The fourth proportional to 399.80, 551.34 and 312.44 is: 430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.80 : 551.34 = 312.44 : x
  2. Step 2: Convert to fraction form
    399.80/551.34 = 312.44/x
  3. Step 3: Cross multiply
    399.80x = 551.34 × 312.44
  4. Step 4: Simplify right side
    399.80x = 172,260.67
  5. Step 5: Solve for x
    x = 172,260.67/399.80
  6. Step 6: Final answer
    x = 430.87

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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.