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Finding the Fourth Proportional to 700.44, 966.57 and 420.62

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Solution

The fourth proportional to 700.44, 966.57 and 420.62 is: 580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.44 : 966.57 = 420.62 : x
  2. Step 2: Convert to fraction form
    700.44/966.57 = 420.62/x
  3. Step 3: Cross multiply
    700.44x = 966.57 × 420.62
  4. Step 4: Simplify right side
    700.44x = 406,553.84
  5. Step 5: Solve for x
    x = 406,553.84/700.44
  6. Step 6: Final answer
    x = 580.43

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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.