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Finding the Fourth Proportional to 531.84, 796.63 and 428.57

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Solution

The fourth proportional to 531.84, 796.63 and 428.57 is: 641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 796.63 = 428.57 : x
  2. Step 2: Convert to fraction form
    531.84/796.63 = 428.57/x
  3. Step 3: Cross multiply
    531.84x = 796.63 × 428.57
  4. Step 4: Simplify right side
    531.84x = 341,411.72
  5. Step 5: Solve for x
    x = 341,411.72/531.84
  6. Step 6: Final answer
    x = 641.94

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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.