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Finding the Fourth Proportional to 700.76, 966.30 and 467.48

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Solution

The fourth proportional to 700.76, 966.30 and 467.48 is: 644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.76 : 966.30 = 467.48 : x
  2. Step 2: Convert to fraction form
    700.76/966.30 = 467.48/x
  3. Step 3: Cross multiply
    700.76x = 966.30 × 467.48
  4. Step 4: Simplify right side
    700.76x = 451,725.92
  5. Step 5: Solve for x
    x = 451,725.92/700.76
  6. Step 6: Final answer
    x = 644.62

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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.