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Finding the Fourth Proportional to 633.71, 875.28 and 488.09

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Solution

The fourth proportional to 633.71, 875.28 and 488.09 is: 674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.71 : 875.28 = 488.09 : x
  2. Step 2: Convert to fraction form
    633.71/875.28 = 488.09/x
  3. Step 3: Cross multiply
    633.71x = 875.28 × 488.09
  4. Step 4: Simplify right side
    633.71x = 427,215.42
  5. Step 5: Solve for x
    x = 427,215.42/633.71
  6. Step 6: Final answer
    x = 674.15

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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.