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Finding the Fourth Proportional to 700.22, 966.31 and 389.72

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Solution

The fourth proportional to 700.22, 966.31 and 389.72 is: 537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.22 : 966.31 = 389.72 : x
  2. Step 2: Convert to fraction form
    700.22/966.31 = 389.72/x
  3. Step 3: Cross multiply
    700.22x = 966.31 × 389.72
  4. Step 4: Simplify right side
    700.22x = 376,591.77
  5. Step 5: Solve for x
    x = 376,591.77/700.22
  6. Step 6: Final answer
    x = 537.82

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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.