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Finding the Fourth Proportional to 474.07, 654.17 and 349.80

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Solution

The fourth proportional to 474.07, 654.17 and 349.80 is: 482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.07 : 654.17 = 349.80 : x
  2. Step 2: Convert to fraction form
    474.07/654.17 = 349.80/x
  3. Step 3: Cross multiply
    474.07x = 654.17 × 349.80
  4. Step 4: Simplify right side
    474.07x = 228,825.78
  5. Step 5: Solve for x
    x = 228,825.78/474.07
  6. Step 6: Final answer
    x = 482.69

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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.