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Finding the Fourth Proportional to 531.84, 796.32 and 423.04

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Solution

The fourth proportional to 531.84, 796.32 and 423.04 is: 633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 796.32 = 423.04 : x
  2. Step 2: Convert to fraction form
    531.84/796.32 = 423.04/x
  3. Step 3: Cross multiply
    531.84x = 796.32 × 423.04
  4. Step 4: Simplify right side
    531.84x = 336,875.21
  5. Step 5: Solve for x
    x = 336,875.21/531.84
  6. Step 6: Final answer
    x = 633.41

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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.