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Finding the Fourth Proportional to 344.68, 513.70 and 341.82

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Solution

The fourth proportional to 344.68, 513.70 and 341.82 is: 509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.68 : 513.70 = 341.82 : x
  2. Step 2: Convert to fraction form
    344.68/513.70 = 341.82/x
  3. Step 3: Cross multiply
    344.68x = 513.70 × 341.82
  4. Step 4: Simplify right side
    344.68x = 175,592.93
  5. Step 5: Solve for x
    x = 175,592.93/344.68
  6. Step 6: Final answer
    x = 509.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.