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Finding the Fourth Proportional to 700.57, 966.75 and 420.73

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Solution

The fourth proportional to 700.57, 966.75 and 420.73 is: 580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.57 : 966.75 = 420.73 : x
  2. Step 2: Convert to fraction form
    700.57/966.75 = 420.73/x
  3. Step 3: Cross multiply
    700.57x = 966.75 × 420.73
  4. Step 4: Simplify right side
    700.57x = 406,740.73
  5. Step 5: Solve for x
    x = 406,740.73/700.57
  6. Step 6: Final answer
    x = 580.59

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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.