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Finding the Fourth Proportional to 630.84, 869.92 and 434.44

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Solution

The fourth proportional to 630.84, 869.92 and 434.44 is: 599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.84 : 869.92 = 434.44 : x
  2. Step 2: Convert to fraction form
    630.84/869.92 = 434.44/x
  3. Step 3: Cross multiply
    630.84x = 869.92 × 434.44
  4. Step 4: Simplify right side
    630.84x = 377,928.04
  5. Step 5: Solve for x
    x = 377,928.04/630.84
  6. Step 6: Final answer
    x = 599.09

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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.