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Finding the Fourth Proportional to 531.09, 796.72 and 462.12

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Solution

The fourth proportional to 531.09, 796.72 and 462.12 is: 693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.09 : 796.72 = 462.12 : x
  2. Step 2: Convert to fraction form
    531.09/796.72 = 462.12/x
  3. Step 3: Cross multiply
    531.09x = 796.72 × 462.12
  4. Step 4: Simplify right side
    531.09x = 368,177.12
  5. Step 5: Solve for x
    x = 368,177.12/531.09
  6. Step 6: Final answer
    x = 693.25

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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.