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Finding the Fourth Proportional to 633.84, 948.24 and 398.76

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Solution

The fourth proportional to 633.84, 948.24 and 398.76 is: 596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.84 : 948.24 = 398.76 : x
  2. Step 2: Convert to fraction form
    633.84/948.24 = 398.76/x
  3. Step 3: Cross multiply
    633.84x = 948.24 × 398.76
  4. Step 4: Simplify right side
    633.84x = 378,120.18
  5. Step 5: Solve for x
    x = 378,120.18/633.84
  6. Step 6: Final answer
    x = 596.55

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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.