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Finding the Fourth Proportional to 700.25, 966.33 and 405.41

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Solution

The fourth proportional to 700.25, 966.33 and 405.41 is: 559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.25 : 966.33 = 405.41 : x
  2. Step 2: Convert to fraction form
    700.25/966.33 = 405.41/x
  3. Step 3: Cross multiply
    700.25x = 966.33 × 405.41
  4. Step 4: Simplify right side
    700.25x = 391,755.01
  5. Step 5: Solve for x
    x = 391,755.01/700.25
  6. Step 6: Final answer
    x = 559.45

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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.