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Finding the Fourth Proportional to 634.96, 876.52 and 428.24

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Solution

The fourth proportional to 634.96, 876.52 and 428.24 is: 591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.96 : 876.52 = 428.24 : x
  2. Step 2: Convert to fraction form
    634.96/876.52 = 428.24/x
  3. Step 3: Cross multiply
    634.96x = 876.52 × 428.24
  4. Step 4: Simplify right side
    634.96x = 375,360.92
  5. Step 5: Solve for x
    x = 375,360.92/634.96
  6. Step 6: Final answer
    x = 591.16

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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.