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Finding the Fourth Proportional to 531.84, 796.82 and 454.02

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Solution

The fourth proportional to 531.84, 796.82 and 454.02 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 796.82 = 454.02 : x
  2. Step 2: Convert to fraction form
    531.84/796.82 = 454.02/x
  3. Step 3: Cross multiply
    531.84x = 796.82 × 454.02
  4. Step 4: Simplify right side
    531.84x = 361,772.22
  5. Step 5: Solve for x
    x = 361,772.22/531.84
  6. Step 6: Final answer
    x = 680.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.