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Finding the Fourth Proportional to 700.50, 966.19 and 460.94

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Solution

The fourth proportional to 700.50, 966.19 and 460.94 is: 635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.50 : 966.19 = 460.94 : x
  2. Step 2: Convert to fraction form
    700.50/966.19 = 460.94/x
  3. Step 3: Cross multiply
    700.50x = 966.19 × 460.94
  4. Step 4: Simplify right side
    700.50x = 445,350.50
  5. Step 5: Solve for x
    x = 445,350.50/700.50
  6. Step 6: Final answer
    x = 635.76

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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.