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Finding the Fourth Proportional to 349.66, 485.70 and 344.08

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Solution

The fourth proportional to 349.66, 485.70 and 344.08 is: 477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.66 : 485.70 = 344.08 : x
  2. Step 2: Convert to fraction form
    349.66/485.70 = 344.08/x
  3. Step 3: Cross multiply
    349.66x = 485.70 × 344.08
  4. Step 4: Simplify right side
    349.66x = 167,117.94
  5. Step 5: Solve for x
    x = 167,117.94/349.66
  6. Step 6: Final answer
    x = 477.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.