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Finding the Fourth Proportional to 406.70, 560.14 and 351.41

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Solution

The fourth proportional to 406.70, 560.14 and 351.41 is: 483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.70 : 560.14 = 351.41 : x
  2. Step 2: Convert to fraction form
    406.70/560.14 = 351.41/x
  3. Step 3: Cross multiply
    406.70x = 560.14 × 351.41
  4. Step 4: Simplify right side
    406.70x = 196,838.80
  5. Step 5: Solve for x
    x = 196,838.80/406.70
  6. Step 6: Final answer
    x = 483.99

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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.