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Finding the Fourth Proportional to 630.43, 869.94 and 464.74

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Solution

The fourth proportional to 630.43, 869.94 and 464.74 is: 641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.43 : 869.94 = 464.74 : x
  2. Step 2: Convert to fraction form
    630.43/869.94 = 464.74/x
  3. Step 3: Cross multiply
    630.43x = 869.94 × 464.74
  4. Step 4: Simplify right side
    630.43x = 404,293.74
  5. Step 5: Solve for x
    x = 404,293.74/630.43
  6. Step 6: Final answer
    x = 641.30

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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.