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Finding the Fourth Proportional to 465.80, 700.20 and 406.40

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Solution

The fourth proportional to 465.80, 700.20 and 406.40 is: 610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 700.20 = 406.40 : x
  2. Step 2: Convert to fraction form
    465.80/700.20 = 406.40/x
  3. Step 3: Cross multiply
    465.80x = 700.20 × 406.40
  4. Step 4: Simplify right side
    465.80x = 284,561.28
  5. Step 5: Solve for x
    x = 284,561.28/465.80
  6. Step 6: Final answer
    x = 610.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.