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Finding the Fourth Proportional to 344.90, 476.04 and 197.57

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Solution

The fourth proportional to 344.90, 476.04 and 197.57 is: 272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.90 : 476.04 = 197.57 : x
  2. Step 2: Convert to fraction form
    344.90/476.04 = 197.57/x
  3. Step 3: Cross multiply
    344.90x = 476.04 × 197.57
  4. Step 4: Simplify right side
    344.90x = 94,048.84
  5. Step 5: Solve for x
    x = 94,048.84/344.90
  6. Step 6: Final answer
    x = 272.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.