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Finding the Fourth Proportional to 531.60, 796.53 and 338.82

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Solution

The fourth proportional to 531.60, 796.53 and 338.82 is: 507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.60 : 796.53 = 338.82 : x
  2. Step 2: Convert to fraction form
    531.60/796.53 = 338.82/x
  3. Step 3: Cross multiply
    531.60x = 796.53 × 338.82
  4. Step 4: Simplify right side
    531.60x = 269,880.29
  5. Step 5: Solve for x
    x = 269,880.29/531.60
  6. Step 6: Final answer
    x = 507.68

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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.