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Finding the Fourth Proportional to 700.22, 966.11 and 420.45

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Solution

The fourth proportional to 700.22, 966.11 and 420.45 is: 580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.22 : 966.11 = 420.45 : x
  2. Step 2: Convert to fraction form
    700.22/966.11 = 420.45/x
  3. Step 3: Cross multiply
    700.22x = 966.11 × 420.45
  4. Step 4: Simplify right side
    700.22x = 406,198.85
  5. Step 5: Solve for x
    x = 406,198.85/700.22
  6. Step 6: Final answer
    x = 580.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.