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Finding the Fourth Proportional to 340.43, 510.45 and 311.41

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Solution

The fourth proportional to 340.43, 510.45 and 311.41 is: 466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.43 : 510.45 = 311.41 : x
  2. Step 2: Convert to fraction form
    340.43/510.45 = 311.41/x
  3. Step 3: Cross multiply
    340.43x = 510.45 × 311.41
  4. Step 4: Simplify right side
    340.43x = 158,957.07
  5. Step 5: Solve for x
    x = 158,957.07/340.43
  6. Step 6: Final answer
    x = 466.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.