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Finding the Fourth Proportional to 467.96, 700.82 and 446.80

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Solution

The fourth proportional to 467.96, 700.82 and 446.80 is: 669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.96 : 700.82 = 446.80 : x
  2. Step 2: Convert to fraction form
    467.96/700.82 = 446.80/x
  3. Step 3: Cross multiply
    467.96x = 700.82 × 446.80
  4. Step 4: Simplify right side
    467.96x = 313,126.38
  5. Step 5: Solve for x
    x = 313,126.38/467.96
  6. Step 6: Final answer
    x = 669.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.